Can you get Lollipop update not on Verizon network?

Since Verizon phones are auto-unlocked and the Droid Turbo has AT&T LTE bands, I was considering buying this phone but my only worry is - will the phone get the Lollipop update if I'm not on the verizon network?

Also, I heard MMS is a little wonky if you're not on the verizon network as well, is this true?