Profiler does not work with Strict tracking protection

In #4083, ianknowles reports that the profiler does not work with tracking protection set to "Strict" in Firefox on about:preferences#privacy .

I cannot reproduce this; for me the profiler still works with that setting (even after a restart).

@ianknowles, can you provide more details? Is this reproducible in a fresh Firefox profile?

┆Issue is synchronized with this [Jira Task](https://mozilla-hub.atlassian.net/browse/FP-551)