If by "run more", you mean run a higher percentage of the time ...
The Pats pass-run ratio in 2016 was 53-47, well below the league average of 58-42.
They may run more effectively and the ground game may have more consistency, but the final RB corps for 2017 will also likely have more versatility, so the short passing game may also be more effective, which could increase the pass-run ratio over 2016.
IIRC, in one of the games against the Jets in 2016, Brady targeted RBs 19 times - a couple more times than the WRs, and about 33% of all targets in that game. And most of those weren't dump-offs, but designed plays.
I think the biggest factor in determining the pass-run ratio is - and probably always will be - what the brain trust sees as the best way to attack the particular defense that they're playing that week. Over the course of the season maybe that works out to a higher percentage of runs than 2016, maybe it works out to more passing.
In terms of the higher investment in RBs for 2017 (still not high by league standards), it seems to me that the Pats simply paid for more versatility and depth. They now have a stable of RBs who can run the ball fairly well, AND catch the ball very well. If one guy gets injured (e.g., Lewis), it won't erase the section of the playbook that uses two RBs who can both run or catch.