As someone who has used both Fold and Strike for a number of years now, I'm only seeing one flaw with this stack.
With Fold, the percent you receive back in rewards is largely based on the amount of Bitcoin you buy there. So you'd be better served having your direct deposits go straight to fold to fully maximize your rewards.
Personally, I've opted to switch to Strike entirely for the automated conversion at the time a bill is due.
Onwards!
https://bitcoinbarks.com/Barks/strike-bill-pay-deep-dive/#wbb1