I noticed this with regards to the Ipswich fans, and agree that you have a point with regards to pressure on players being different for different clubs.
Not entirely sure though that their reaction to a meaningless consolation was particularly positive. Think it exposed a total loser mentality. The lad who scored celebrated like it was a late equaliser, and the wacky funsters in the away end were either genuinely overjoyed, or thought celebrating gleefully would be a “laugh”. Half of them are probably kopites on the sly who had their absolute perfect day out.
Putting aside the fact that losing 4-1 at Anfield has a specific difference for us, I would be absolutely fuming if we reacted like that to a late consolation in a battering against Chelsea for example. It’s something that separates us from these type of clubs and while that might create a pressure, that is probably a good thing.