The talk of the so called damage he does to the club is massively exaggerated. Both from a football side of things and the commercial side of things Suarez still brings more positives than negatives. Would it be better if he was available 100% of the time? Yes. Would it be better from a PR/commercial point of view if he didn't bite somebody? Yes but I can safely say that Suarez brings in more sponsors, shirt sales, points on the pitch and more players want to play with him than they would Daniel Sturridge.
I think you might be being a little naïve if you think continued mentioning of the club in similar negative press (and club sponsors therefore also being shown in a bad light) doesn't have any "outside" effects.
I would also be Very surprised if the commercial arm didn't get a phone hammering a few days ago when the club admitted they were basically ok with what he did (by way of banning him themselves for 2 games or something). Whether the supporters like it or not all the sponsors have their say on things like this.
I very much doubt the club even knows the full extent of what may happen (while Im sure they have plans for every eventuality) and I would bet there has been a lot of sweet talking going on.
I just have a feeling this will affect the transfers this summer - maybe the European press isn't flooded with it, but surely every agent who is getting calls from Liverpool will surely be briefing their client on this.
Whether any new player would prefer not to play with Sturridge, which wasn't really the question (as he is mainly a squad player rather than automatic 1st choice surely?) , they are still being associated by agreeing to join that team.