One was in the hands of the police. Legal proceedings are ongoing with Ben Stokes. I imagine that's where the difference lies.
Although I suspect the FA would love police involvement in this as it negates their need to give it due process. They could stonewall and say 'its in the hands of the criminal justice system'. Give a ban if found guilty or nothing if not (despite being two different burdens).
Technically the FA punished John Terry over a similar incident whilst simultaneously an actual criminal court found him not guilty. My point? The FA haven’t a clue what they’re doing. Despite terry being cleared the FA conducted their own investigation and found him guilty of racist abuse. No fan of John Terry but nobody can deny that it’s a bit bizarre for the FA to essentially place their authority higher than that of a criminal court!
All conspiracy theories aside, if there’s something to this Firmino will be punished. The FA won’t let a serious racist allegation come to nothing if there’s evidence for it. Still think it’s strange how we’ve handled this ourselves though. Bong and Evra both made their allegations public forcing the FA to really act. We haven’t done anything and Holgate has basically gone AWOL since this incident.
From a RS viewpoint I do wonder if they would have been far more active in the transfer market if they anticipated a ban for firmino. It could be of course that they’re just keeping a low profile and hoping this will fade away, but if Firmino has said something I’m sure Klopp would have known about it straight away and would have adjusted his plans accordingly.