Lineup protection is a thing, its just nowhere near as big a deal as fans make it out to be. Having anyone hit behind X player doesnt change that player's weaknesses at the plate. You can still get him out with the pitches that normally get him out if you can execute them properly. In that sense, lineup protection is a fallacy that people talk about to try and excuse a hitters failures. "Well, if only we had someone good behind him, then the pitcher would have to throw the other guy more pitches to hit, and the first guy would hit better" Meh. There is a certain logic to it but only if you consider those 2 variables in a vacuum.
Does having Aaron Judge hit behind you change your own mindset on what you feel you have to do at the plate? I can't think why it wouldn't have an impact at least on some level. But at the same time... it shouldn't. Any players job at the plate is a simple one, get to 1B. I think the players that are the most successful understand that simple goal and just go out there to do that. Everything that comes their way beyond getting to 1B is the result of a entire array of variables that coincide at that moment in time, just like anything less than getting to 1B is a the result of an entire array of variables that coincide in that moment in time. The hitter can only control a minimal # of things; their overall mindset/approach and their decision making to swing or not swing. Everything else is up in the air.