I can follow up on this:
I ended up with the Sig 5K and the battery life was atrocious. Changed the settings to make it a little better and was able to get multiple hunts on one battery, but ALWAYS had two spares in the Bino Harness because it was a bit inconsistent. Was doing some local late season hunts with my boy and it crapped out on me. However, CS was amazing and I had a new one within 2 weeks. So some high and low marks there.
I found the Sig App was intuitive and easy to use. I also shot multiple range sessions at 800–1200 yards with very little tweaking. So another +1 for the Sig BDX.
At the same time, I happened a Leupold RX-5000 and they recently did an update that put it on par with the Sig Ballistic app. In prior versions, you were confined to the Leupold TBR ranges, so it gave approximations. Those all assumed 200 or 300 yard ranges depending on the caliber and I'm dedicated to 100 yard zeroes (go ahead and call me a Fud, that's fine).
With their new update, you can use 4DOF or you can plug in your ballistics for read outs. Overall the new interface is much easier to read and you can pair a wind meter to it. Combined with the better battery life, I think the nod goes to the Leupold. But just barely.
As for CS, Leupold unabashedly limits the warranty on electric products. And to some degree I get it, but I was thoroughly impressed with how Sig handled my issue.