Edinburgh is definitely not quite Oxbridge level on those factors. But it certainly is higher than the 'Red brick universities'. There are 24 universities in the Russell Group, and none of the red brick universities fall in the top 5 as it is an outdated term. It could be argued that Edinburgh falls in the top 5, which are comparable to the Ivy League.
Once you actually study at multiple universities in these rankings you realize what a joke it is. I can't believe Penn is ranked so highly, outside of Wharton. I was recently there for CS coming from a UK top 5 in CS and Penn CIS was a joke. Also, Oxford > Cambridge for CS? Wat. When you get to about the top 50 universities, it becomes so specific to the strengths of the particular department that these universities really can't be ranked in a single field.