You are right, they aren't close. The plays are exactly the same.
In reality this is all about the Browns looking for an excuse to dump the salary of a highly paid punter. They don't need a highly paid punter. They don't even particularly need a good punter at this point. Lee gave the Browns an excuse so they could say to their fans "see, if guys don't go all out all the time, even when going all out is meaningless, we will get rid of them". And fans eat shit like that up. On the other hand, the players aren't dumb enough to not realize what this is all about, so it isn't going to have much effect on them at all. Except on the field, where this move made them a weaker team.