Added std::conditional_t<(BITS <= 16), bitset_detail::IntBitSet<uint16_t>, ... and removed the I(), wrote unit test in bc36241f5a0a23d16645155eb819e94b0db2813e, and it indeed proves you are correct. Right now it cannot occur since IntBitSet<uint32_t> is the smallest we go, but better not to leave loaded footguns lying around.
<details>
<summary>Test Log</summary>
$ src/test/test_bitcoin -t bitset_tests
...
Running 1 test case...
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [1 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [2 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [3 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [4 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [5 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [6 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [7 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [8 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [9 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [10 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [11 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [12 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [13 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [14 != 16]
test/bitset_tests.cpp(18): error: in "bitset_tests/bitset_test_15": check std::popcount(sim) == set.Count() has failed [15 != 16]
</details>