I'll admit it: I assumed that the Xbox 360 version of Titanfall would be hot garbage, especially once we found out that Respawn—the studio behind the PC and Xbox One versions—hadn't actually made it.
And now I'm happy to admit I was wrong: Digital Foundry did one of their in-depth performance analyses on last-gen Titanfall, and they say it runs relatively smoothly. The framerate is inconsistent, DF reports, but you can lock it at 30 FPS for a more consistent, albeit lower-quality performance.
Seems like the folks at Bluepoint Games pulled this one off. To quote Digital Foundry: "In summary, after a day with the Xbox 360 game, the big takeaway here is that this is Titanfall, and it does appear to be feature-complete on the older console. With just one tenth of the available RAM and far less capable silicon, it's safe to say that Bluepoint Games has more than exceeded expectations."
Check out the DF report for the super-technical analysis.