I have a 701 with all the bolt ons and an 800 with all the bolt ons. Ign, Alum Fly, Wet Pipe, Carbs, Reeds etc... Basically the same setups. Both running around 180psi. I would say the 701 has tuns more snap but the mid to top on the sxr decimates.
The comparison cant be made easily, the 701 is stuffed in a seriously lighter 300lbs SJ vs the 360's SXR.. Shave that weight and even the pumps out and the SXR prob will have more power. I rode a well built superstock SXR (big bore, ports, 230psi 144mm mag etc) and that sucker had some amazing snap. If a guy could tune that for some more low end.... scary..
Bang for the buck IMO, the 701, more freestyle orientated options and more guys have put the R&D into making it a freestyle kinda engine. Likely you could find a 62T/61x combo in a ski for cheaper than an 800 since you have 96+ vs '03+..