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To prevent speculation, the files that mention import_fresh_module are:
# Without changes to test classes
Lib/test/test_bisect.py: would work if you made the attribute configurable (e.g. self.module instead of self.bisect
Lib/test/test_heapq.py: would work
Lib/test/test_warnings.py: would work if you made the attribute configurable
# With minor changes to test classes
Lib/test/json_tests/__init__.py: would work if you took out the function accessing shortcuts (e.g. self.json.loads instead of self.loads)
Lib/test/test_functools.py: would work if you took out the function accessing shortcuts
# Won't work
Lib/test/test_datetime.py: has its own crazy version of this approach (although it sounds like part of it is because of problem with import_fresh_module and other things that might need to be fixed)
Lib/test/test_decimal.py: won't work because of fractions modules
Lib/test/test_xml_etree.py: doctest-based
Lib/test/test_xml_etree_c.py: specific to accelerated version
# Doesn't apply
Lib/test/support.py: because it defines it =) 
Lib/test/test_bz2.py: used in a single test method
Lib/test/test_importlib/test_api.py: used in a single test
Lib/test/test_support.py: obvious =)
So out of 9 test modules it will work with 5 of them (2 with either search-and-replace changes to the test code or making the proposed solution more flexible) and not w/ 4 (or 3 if you don't count the etree tests as separate, and the test_datetime seems weird as to why it's so complicated based on the comments in the code). So overall it still seems like a win to me, especially if we keep adding more test modules that need this approach.