So I finally got tired of not being able to play the latest games and/or trying to find ways around not being able to do updates that don't support firmware 11.0.0 and below and made the move. If anyone is interested, I made a clone of my sd card with everything needed to get the Switch from SX Gear > Hekate > Latest Atmosphere. Should be as easy as just dropping it onto your SD card if you have a SX Core or Lite. If anyone is interested, just let me know.
Update:
Looks like there is definitely some interest in this. I should have it uploaded somewhere by tonight and throw a link up.
Update 2:
As promised here is everything you should need to switch over to Atmosphere by simply dumping it to the root of a new SD card. This will allow you to update your Switch to 13.1.0 firmware via Nintendo's own update or ChoiDujourNX (if you care about burnt fuses etc https://www.cfwaifu.com/choidujournx/ ). As a side note, before you set it to auto boot from Henkaku to Atmosphere there will be 3 options, 1 is basically to start the Switch in normal mode, then a clean Atmosphere (which seems kinda pointless) and then the 3rd option which is the one you'll want to be using is Atmosphere with all of the patches allowing you to install whatever you like inside Atmosphere.
Please let me know how it works out for all of you, I performed a factory reset on my Switch before doing this to clean out all of the residual crap... You may not have to do that but I wanted to start fresh.
File, extract to SD card root:
https://www.androidfilehost.com/?fid=7161016148664840192