Is Oxbridge as prestigious as HYPSM?

While I agree that HYPSM generally outperforms Oxbridge (Oxford, Cambridge) in terms of employment outcomes (e.g., salary and what not), as a European, I always assumed that Oxbridge would hold similar prestige to HYPSM, even in the US.

In terms of overall prestige, would you say Oxbridge is on par with HYPSM, or is it more in line with the T10–T15 range?