Nottingham Trent University - established as Nottingham School of Design in the 1840s.
University of Hull - established as University College Hull in the 1920s
One of the reasons why it's probably best to ignore most teachers, at least in my experience.
How can you measure "reputation"? Whist the difference between UCL and Loughborough seems quite stark to many, what about Warwick and Durham, Manchester and Birmingham, Newcastle and Leeds, Glasgow and Edinburgh...
Or even in this case, Hull and Nottingham Trent?
Loughborough is very highly thought of in engineering and going there is unlikely to have disadvatanged you in terms of employment prospects, certainly in engineering.
Only a minority (albeit perhaps a relatively significant minority) of employers are focused on university name. This is university name, not necessarily reputation (which is abstract and subective) and certainly not league table position. They can discriminate using their own personal preferences based on experience, on geographic location - having a regional bias - or will look for Russell and 1994 Group universities (showing no real bias for any particular universities within this group)
Far better chose a stronger department in my opinion. Epecially when the two universities are still Russell or 1994 Group universities.
In short, OP if you want to go to Hull then go to Hull. If you want to go to Trent then go to Trent. No need to complicate things.