We didn't really play Princeton on Tuesday. That was always a Sunday game until the lost years under the last coach. We never played them on a Tuesday while we were there and I don't believe ever before that. After Brecht came and we got our act together however many years later, both schools agreed, the nature of that game makes it a weekend game.
As to the OP's question, my answer is hell yea it makes a difference. There was a scheduling question asked earlier and people need to understand how hard it is to schedule games. You know who will never come play Rutgers in Feb? Duke. Unc. Uva. They say come down and play us in warmer weather but we aren't coming there. Yea, no thanks. The other issue is the B1G like I believe every sport save a few games or sports here and there, only wants conference games played once conference play starts. It's two very distinct seasons. I have no problem with it though because the conference is so good it makes it all very exciting.
The easiest thing to do would be to push this all back. The FF is always played on Memorial Day weekend but why? Push the season into June. Baseball goes deep into the month, maybe even more. Midweek games can be played once or twice a year but these kids need recovery time. I'm not sure the average person realizes how physical the game is.
My solution would be to push it all back. Instead of cramming between now and early Feb., let's start in March and go into summer.