there are several guys, myself included, that run an omega on a short grendel. you might be able to find archived threads about it, but i posted an email exchange with sico where they say they havent tested it shorter than 16", so that's the minimum known ok barrel length officially. He then got back to me after talking with the r&d guy who ran numbers and said it should be fine down to 10".
And even with shorter barrels than warrantied, you're typically talking about more wear on the baffles, not catastrophic explosions. The omega is a pretty robust can. Not as much as some others, but it isn't a slouch.
You might not want to run your short grendel full auto, but 12" has been just fine for my omegas. I also run my hybrid on a 9.5" 458 socom, and omega 9k on a 16" 223 bolt action, so I do like to live dangerously. ymmv.