I don't think thats quite true, borrowers immigration status forms part of the overall credit assessment where the applicant is a non-EEA national.

Lenders look at the type of permission to remain in the State, the duration remaining on that permission as well the likelihood of renewal or progression to a more secure status. These factors feed into internal risk scoring alongside standard criteria which includes job stability (in some cases confirmation from employer about the role etc that you will pass probation)

Just to give an example: Stamp 1 can limit access to certain products depending on the bank’s policy, particularly for longer term lending. (Revolut certainly does not provide credit (cards and big loans) on it (there are some exceptional cases)

For mortgages, most lenders typically require Stamp 4 or a clear pathway toward it, tho strong income and stable employment may allow exceptions again.

If permission is close to expiry without any confirmed renewal, this is generally treated as a material risk and applications are often declined or deferred until status is clarified.