nobodydrinkswater
When play services are installed in the same profile where you install Signal, it will use the PlayServices.
If you just need them for FIDO (that is this password thing, right?) you could probably open a new profile just for that, or vice versa a new profile just for signal.
When you don't have play services installed in that profile, and install Signal with the apk. from the Signal Website, it will use its own push service for messages instead of play services.