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Would you say that the pronunciation of those two guys is so similar that they can be both lumped in the category of generic "Oxbridge English", or can you hear some clear differences between the two?
Distinctly different to my ear.
The first is what I would call generic Oxbridge, though I would guess he grew up somewhere in London/the southeast.
The second has a couple of Oxbridge-esque lines near the beginning ('you quickly notice' etc), but mostly sounds like someone from the north of England (East Yorkshire maybe?) that's lived in the southeast for a good few years and had the edges knocked off.