Some of this will apply to LC and some not, but for comparison:
I went to ME (before it changed names). I think Ineeda hit the nail on the head that supervisions are where it’s going to hurt most. My personal tutor (pastoral tutor) was a fiercely feminist sociologist who had a massive issue with women statistically underperforming at Cambridge. But, at the time, whilst the women’s colleges were very low on the general league tables, if you stripped men out they shot up to near the top. All women performed less well than men, but those in women’s colleges performed better than those who were being educated alongside men. I didn’t share a supervision with a male student until my final year, and rarely then, and it was bliss to not be talked over/shouted down/ unable to get a word in, unlike at school.
Re the living arrangements, when I was at ME first year rooms were absolutely not en suite, they had shared shower facilities. All kitchens were shared and it was not unusual to find women in them in varying states of undress. First year mainly seemed to be other students strolling around to showers in a towel at various times of day, and occasionally stopping for a chat with just the towel. Laundry room was full of women in hot pants pyjamas and little vests or oversized t shirts (maybe just cos I was always there with all the other grotty arts students...). HOWEVER middle of the night fire alarms would demonstrate just how many men were sleeping there every night 😁 but It was always something we thought was quite funny, and they were just “overnighting” they didn’t have a say in anything.
I wasn’t surprised when I heard, ME was libfem at best in my time, but actually a lot of them were of the “urgh, no, I’m not a feminist” mindset. Same for the friends I had at LC. Newnham was where the feminists were. (I applied to Newnham and got pooled to ME, they had a glut for my subject that year...)
As for the LBT soc, I went to one meet up and never went back, there were only 3 of us, and the LBT officer was unbelievable unfriendly, no surprises there was hardly anyone there!