All things being equal, no reason to NOT put as much in your favor as possible and make everything as quiet as you can. It certainly can't hurt.
If I can shoot the same bow and tune it with brace height, string silencing configurations, string material & varying number of strands
(plus, other tricks) to make that bow as quiet as possible, there's no cost in that. Same goes for arrow tuning. There is an unlimited number of ways to achieve the same arrow weight, flight and performance, yet making the arrow as stealthy as possible.
That bit of quiet might go unnoticed, but agree with everyone above, it is very conditional with how a deer reacts...many variables come into play.