Is it irrelevant to the process though? Can that ever really be possible. I don't thnk it can. They are people after all, and have inevitable human reactions to contexts.
A few weeks ago the PL was drawn into having to comment on the case, due to the increased attention as a result of runaway speculation from almost a nothing rumour. The club manage well to resist that.
But it affects the mood, the public opinion, and that surely filters at least in Some way to thise involved. If the PL has to double down, that tone will be felt by their lawyers. If there is speculation of foul play, the commission will likewise have that as a layer around it all.
I understand these are highly robust professionals and I understand that they should he able to filter all that out. But I don't see how the context of the attention and discussion doesn't in some way affect their mood towards it.
There is a reason in serious cases and actual courts, speculation and commenting on cases including online is advised against and strongly discouraged. This is obviously a different level, but I think the same reasoning behind that must surely apply.