Wiki tells us about Univ:

It was due to the college's lack of a mathematics fellow (this is no longer the case) that Professor Stephen Hawking read a natural sciences degree and ended up specialising in physics.^[12] A perhaps more unusual alumnus is Prince Felix Yusupov, the assassin of Rasputin.^[13]

Whoever tries to judge Oxbridge by standards coming from the rest of the world, is liable to despair. Perhaps Freemasonry comes closest.

Engineering science is a field of applied physics, certainly more scientific than medicine. By tradition, some professional skills for non-researchers must be taught by researchers. This is certainly arguable, but often leads to confusion - and to bad results due to didactic inadequacy.