Couple of thoughts.
Par absolutely matters for ESC
There are times where I'm sure people play suboptimally as a result of the number on the card. on Walton Heath New, 12 and 13 are a long tough par 4 and a relatively short par 5. They run parallel to each other in opposite directions. I always treat the two holes as par 9. If 12 is into the wind, then that's the 5 and 13 is the 4. If 12 is downwind, that's the 4 and 13 is the 5.
I got a 2 on the 7th at Bethpage Black. They played that as a par 4 for one of the tournaments held there, but it's a 5 on the card. Anyone who wants to argue that was not an albatross can go take a long walk off a short pier.