GPS accuracy - Stock based ROMs or AOSP?

I have a VS980 and GPS locks take a long time on CM/AOSP based ROMs. I'm wondering if I should flash a stock based ROM. Is there a difference? Is there anything else to gain from stock based ROMs?

Wrong location when using high accuracy

I'm running stock 5.1.1 on the LMY48M build and when I have high accuracy enabled in location settings, it shows that I'm in Houston, TX. I'm on the other end of the country in Michigan though. If I go to Google Maps, it shows my correct location. It also shows the correct location if I switch to Device Only in location settings. But in Google Now and Chronus, with high accuracy enabled it shows Texas. Has anyone experienced this before? I've searched all over and couldn't find any information.
E: Also, I'm on Verizon.

Battery status page accuracy?

How accurate is the battery usage page on the Pure? This is with 1hr 50 minutes of SOT @ 50% brightness and adaptive screen enabled.. Kind of hard to believe that only 5% of the battery was used by the screen.

GPS accuracy issue with Non-Sense based roms?

I've avoided the issue with GPS by using only sense based roms, but I wanted to check up on this topic because I'm hoping to flash CM this weekend.

ISSUE: GPS doesn't sync properly and can't find location when using a rom that strays away from stock. I had a LG G3 that had the same issue when I flash a different rom as well, so I figure it's not simply a phone problem.

I want to use CM because certain things (fm radio, battery conservation, customization) works so using a sense based rom is not my solution in this case. For instance the FM radio app doesn't work on the Verizon M8 Sense roms. So my question is if this is a solved issue or something that is unavoidable due to software/hardware incompatiblity?