Bath was 'Times university of the year' last year, has a 50m pool, has a high-profile elite athlete programme (incl. swimming, triathlon). A lot of the facilities use will be prioritised for the competitive and Olympic athletes, the paying clubs in the local area, local elite sportspeople, paying customers etc.
Interestingly, it performed very badly on the Guardian student satisfaction during the lockdown/pandemic years (down in the rankings below number 50 on list), despite scoring highly in other respects and maybe has improved since then. There was also some bad publicity about how students joining in Sept. 2022 were still being taught mainly online, the course in the news was Economics, but it may have applied to others. It is also in a relatively isolated self-contained location, and first years on campus might feel little connection with the town, which would affect community involvement.
Of course, I may be wrong and maybe it's something less obviously 'top' which might include e.g. Surrey, which also has a 50m pool. It is less isolated, and the sports vibe is not as 'elite' imho.
Loneliness is not a problem to be minimised. People take it seriously when older people are affected, but not so much when younger people are affected. Severe loneliness can also aggravate social anxiety and make it even harder to get out and join in, which some people don't appreciate. It's hard when everyone else seems to have a big circle of friends and having a wonderful time. This is incredibly isolating. OP mentions a waiting list for counselling. There are other more immediate sources of help - telephone helplines and online chat can help. The uni will most likely have a support line run by students, which might feel more approachable. Then there is studentminds, youngminds, etc.