I will also second the argument that, at least in player hands, omni-shield Odyssey is much stronger than front shield conversion Odyssey. Given the relatively shallow flux capacity it has compared to its peers, a common usage I have is to engage at 90 to 135 degrees (left side or left rear towards enemy), burn perpendicular or not quite directly away, and then vent for ~2 seconds. Unfortunately, the AI isn't quite sophisticated enough to approach in that way.
If I'm soloing a 300-400k bounty with a pile of Conquests and Champions, being able to drop and quickly bring up shields in the correct direction is key given the long range missile spam. Front shield deployment would take way too long to get to the rear of the ship in that case, resulting in hits on the ship.
The only issue with 360 front shields is how quickly it gets to the position you need it at, but it happens to be a big issue for some ships. On small ships like the Hyperion or Scarab, it's not a big deal since it raises quickly and they can easily back off to vent and re-engage quickly. If you're in the middle of a battle line, it's also not a big deal, since other ships are dealing with flankers. But if you're isolated (or soloing) or defending a flank, then it can run into some issues.
I do tend to think omni shield conversion on armor tankers which don't start that way, such as on Onslaughts, and sometimes Legions, is quite nice as well, both for player and AI piloting. The smaller area is less of an issue since you want to use armor to win the flux war anyways, while also prioritizing incoming Reapers or phase ships from odd angles.