Re-watching Supremacy (Bourne 2) in order to see the later films, I think I was a little unfair on it the first time around. The main reason for this is the change in director to Paul Greengrass, who (with DP Oliver Wood) shot most of it on hand-held cameras. Compounding the queasy cam, action sequences are riddled with disorientating fast cuts.
The stated aim of this style is to make the audience feel like they're really there; I don't like it, but it's very effective. On reflection, it reminds me most of The Shield, which has the same kind of fly-on-the-wall style, almost faux-documentary: this is what a covert operation looks like, from both sides, and this is what it looks like when everything goes pear-shaped.
One of the reasons this film is better is that it broadly skips all the relationship and amnesia stuff, leaving much more time for plot. Performances are good, and spectacular by action movie standards. A genuinely excellent spy thriller.