Yeh very much agree with @Bobbybobbins – Loughborough and London could hardly be more different.
London – big big capital city, wonderful cultural offer, everything you could need or want to see, buy, watch, be at, excellent public transport, no campus, halls possibly spread out, accommodation very expensive and possibly a long way out, CoL very high.
Loughborough – small town, uni very much the focus, huge lovely campus, halls on campus ranging from cheap SC to £££ catered, accomm in the town pretty cheap, massive offer for students on campus, excellent sports facilities and lots more, but very little in the town in the way of clubs or pubs or shops or cinema; very weak cultural offer in the town – need to go to Nottingham for a gig or a show.
Sheffield yes is kind of between them – big city but not huge, decent infrastructure and theatres, clubs, cinemas etc but not overwhelming. Not campus. Close to the Peaks which appeals to climbers. Good sports offer. ]
I don't know about the course specifically but all are great unis. Just quite different. So your DD needs to think about where she would be happy.
If you were comparing (say) Lboro/Warwick/Lancaster (three campus unis not that close to a big city) or Leeds/Sheffield/Newcastle (three unis in big cities) it would be harder tbh. With three very different choices I would imagine she will have a clear view of where might be good for her.