I get where this idea comes from, but I'm not sure it would be healthy for the game. Would greatly diminish the ressource management perspective and would give a massive advantage to older accounts.
You would be able to almost carelessly apply omis and then recycling the older ones as newer come out, which I get would be nice from a personal perspective, but would also mean that pretty soon all slightly older accounts would have all the new omis and dispense with the old ones that had fallen out of use.
I imagine it would hit CG's bottomline quite noticeably as well as omis would be greatly devalued as you could also use this to stick TB omis on all TB toons until you had time to relic up enough squads that you didn't need the omis anymore and then recycle them for TW/GAC.