Nothing like each other Shane. The ATC's have an NS10 upper mid 'bump-up' in the response to try to get over hideous inefficiency and easily sound small and rather 'dead.' The P3ESR is better and much sweeter in the mid and top and with clarity to match any small active monitor, but has the mid bass lifted ever so slightly to make them appear to sound bigger than they really are. They can get away with it too and the bass driver will cope with Massive Attack's 'Karmacoma' incredibly well for such a driver and to surprising volumes too I found.
In my youth, the ATC may have sounded more exciting, albeit needing a powerhouse amp up its backside. It certainly looks a bit more 'modern.' These days I have a much wider music taste and the peaky and over-dry presentation isn't to my taste any more.
Tear down these walls; Cut the ties that held me
Crying out at the top of my voice; Tell me now if you can hear me