just the fact that people practice them before FAANG interviews and their correctness/success rate and speed at completing those tests suddenly gets better by an order or magnitude or more should tell you how little those tests actually filter for any more fundamental abilities.
a proper test for the abilities you mentioned should not only be doable no problem by any working programmer (especially senior and above) walking into that test naked and unprepared, in fact preparing for the test in any reasonable manner before the interview should give no advantage at all.