Lincoln has a lot of purpose built student accommodation that is less likely to impact the local housing. Many students don't use private rentals housing at all.
and yet oddly @fortyfifty Lincoln has the highest rate of homelessness for any council area, including both Nottingham and Leicester, in the East Midlands. Something not quite adding up.
I think universities ought not to have been allowed to expand unless they could house 2/3 of the student population themselves
Whilst that horse has long bolted its an interesting thought still. Now when you say universities presumably you mean most RGs / RG+, and no doubt we now have RG++ as well , the actual expansion distribution curve might come as a surprise, as it has been far from evenly spread, with a not insignificant number flatlining or indeed seeing a reduction in numbers.
One of the first on the expansion naughty step Bristol uni - 16,000 undergrads in 2014/15 almost 24,000 in 2023/24.
Durham just under 13,000 to just over 17,000
Exeter 16,000 to just under 24,000
York just under 13,000 to around 15,500, so not quite as marked as some
Ditto Sheffield (uni of not Hallam) 19,000 to just under 21,000
Southampton 16,000 to......16,000 - flatlining. And I can't ever recollect seeing a thread (coming back to your point) on accommodation issues - availability or cost - at Southampton, whereas Bristol sometimes seems like every other thread! I exaggerate somewhat of course, it's probably every third thread.