Does running at 720P improve frame rate on some games?

I have a stupidly simple question, and search engines / blogs / tech sites / etc are not offering an answer. Maybe my Gooogle-Fu is weak today, but I've phrased this every way I can think of.

If I lower the video resolution of my Xbox One from 1080P to 720P in the main settings, will some games run more smoothly? (I assume the main setting places a hard cap on max resolution for games themselves.)

For instance, let's say a game "targets" 30 fps at 1080P. Logically, a lower resolution should be less demanding to render, so graphics should render more smoothly like on a PC. Assuming they haven't placed a soft cap of some kind to deliberately limit fps, might running at 720P give me a 5-10 fps increase on some games?

Submitted by FatManDue | #Specialdealer Special Offer Online Shopping Store 2016