diff --git a/ext/BandedMatricesExt.jl b/ext/BandedMatricesExt.jl
index 1ff6a12..eb9f51b 100644
--- a/ext/BandedMatricesExt.jl
+++ b/ext/BandedMatricesExt.jl
@@ -1,7 +1,7 @@
 module BandedMatricesExt
 
-using SparseMatrixIdentification
-using BandedMatrices
+using SparseMatrixIdentification: SparseMatrixIdentification
+using BandedMatrices: BandedMatrix
 
 function __init__()
     return SparseMatrixIdentification._bandedmatrices_loaded[] = true
diff --git a/ext/BlockBandedMatricesExt.jl b/ext/BlockBandedMatricesExt.jl
index ba04884..c6fb2a5 100644
--- a/ext/BlockBandedMatricesExt.jl
+++ b/ext/BlockBandedMatricesExt.jl
@@ -1,8 +1,7 @@
 module BlockBandedMatricesExt
 
-using SparseMatrixIdentification
-using BlockBandedMatrices
-using BandedMatrices
+using SparseMatrixIdentification: SparseMatrixIdentification
+using BlockBandedMatrices: BlockBandedMatrix
 
 function __init__()
     return SparseMatrixIdentification._blockbandedmatrices_loaded[] = true
diff --git a/ext/FastAlmostBandedMatricesExt.jl b/ext/FastAlmostBandedMatricesExt.jl
index 9e4377a..7aa19d5 100644
--- a/ext/FastAlmostBandedMatricesExt.jl
+++ b/ext/FastAlmostBandedMatricesExt.jl
@@ -1,8 +1,8 @@
 module FastAlmostBandedMatricesExt
 
-using SparseMatrixIdentification
-using FastAlmostBandedMatrices
-using BandedMatrices
+using SparseMatrixIdentification: SparseMatrixIdentification
+using FastAlmostBandedMatrices: AlmostBandedMatrix
+using BandedMatrices: BandedMatrix
 
 function __init__()
     return SparseMatrixIdentification._fastalmostbandedmatrices_loaded[] = true
diff --git a/ext/SpecialMatricesExt.jl b/ext/SpecialMatricesExt.jl
index 6a9bf91..ef9d971 100644
--- a/ext/SpecialMatricesExt.jl
+++ b/ext/SpecialMatricesExt.jl
@@ -1,7 +1,7 @@
 module SpecialMatricesExt
 
-using SparseMatrixIdentification
-using SpecialMatrices
+using SparseMatrixIdentification: SparseMatrixIdentification
+using SpecialMatrices: Cauchy, Hilbert, Strang, Vandermonde
 
 function __init__()
     return SparseMatrixIdentification._specialmatrices_loaded[] = true
diff --git a/ext/ToeplitzMatricesExt.jl b/ext/ToeplitzMatricesExt.jl
index f9fcc01..9ba2bae 100644
--- a/ext/ToeplitzMatricesExt.jl
+++ b/ext/ToeplitzMatricesExt.jl
@@ -1,7 +1,7 @@
 module ToeplitzMatricesExt
 
-using SparseMatrixIdentification
-using ToeplitzMatrices
+using SparseMatrixIdentification: SparseMatrixIdentification
+using ToeplitzMatrices: Toeplitz
 
 function __init__()
     return SparseMatrixIdentification._toeplitzmatrices_loaded[] = true
diff --git a/test/qa/Project.toml b/test/qa/Project.toml
index b31d0b9..6a277b3 100644
--- a/test/qa/Project.toml
+++ b/test/qa/Project.toml
@@ -1,13 +1,23 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
+BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+FastAlmostBandedMatrices = "9d29842c-ecb8-4973-b1e9-a27b1157504e"
 JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b"
 SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 SparseMatrixIdentification = "2607229e-3272-44a7-bc4a-cd97a328dfbf"
+SpecialMatrices = "928aab9d-ef52-54ac-8ca1-acd7ca42c160"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+ToeplitzMatrices = "c751599d-da0a-543b-9d20-d0a503d91d24"
 
 [compat]
 Aqua = "0.8"
+BandedMatrices = "1.10.2"
+BlockBandedMatrices = "0.13.4"
+FastAlmostBandedMatrices = "0.1.5"
 JET = "0.9,0.10,0.11"
 SciMLTesting = "2.4"
+SpecialMatrices = "3.1.0"
 Test = "1"
+ToeplitzMatrices = "0.8.5"
 julia = "1.10"
diff --git a/test/qa/qa.jl b/test/qa/qa.jl
index ae7bd58..7e74b85 100644
--- a/test/qa/qa.jl
+++ b/test/qa/qa.jl
@@ -1,4 +1,33 @@
 using SciMLTesting, SparseMatrixIdentification
 using JET
 
-run_qa(SparseMatrixIdentification)
+# ExplicitImports only sees an extension module once its trigger packages are loaded
+# (`Base.get_extension` returns `nothing` otherwise), so load every weakdep here to put
+# the extensions under QA. The `SemiseparableMatrices` weakdep has no `[extensions]`
+# entry, so there is no extension module for it to scan.
+using BandedMatrices, BlockBandedMatrices, FastAlmostBandedMatrices
+using SpecialMatrices, ToeplitzMatrices
+
+run_qa(
+    SparseMatrixIdentification;
+    ei_kwargs = (;
+        all_qualified_accesses_are_public = (;
+            # Owner: SparseMatrixIdentification itself. Every one of these is the
+            # package's own internals reached from its own extension modules, which is
+            # the only way an extension can hook into its parent: the `try_*` stubs are
+            # the methods each extension adds, the `_*_loaded` `Ref`s are the flags the
+            # extension's `__init__` flips, and the `is_*`/`detect_*` predicates are the
+            # structure detectors the extension dispatches on. None of them are declared
+            # `public`, and there is no public spelling to use instead.
+            ignore = (
+                :_bandedmatrices_loaded, :_blockbandedmatrices_loaded,
+                :_fastalmostbandedmatrices_loaded, :_specialmatrices_loaded,
+                :_toeplitzmatrices_loaded,
+                :try_almostbanded, :try_banded, :try_blockbanded,
+                :try_special_matrices, :try_toeplitz,
+                :detect_block_size, :is_almost_banded, :is_banded, :is_cauchy,
+                :is_hilbert, :is_strang, :is_toeplitz, :is_vandermonde,
+            ),
+        ),
+    ),
+)