The football banning orders are imposed by the courts though, and only after conviction of a relevant offence - there is a proper judicial process, right of appeal, transparency etc. If the scheme followed the same principles I would think that could work.
I think if private airlines just start running a database sharing the names of people who have been denied boarding or caused issues on a flight, the issues get quite sticky - who would run it, who decides you get added and for how long, is there a right of appeal, what if you get added to it by mistake, would you be added to it only if you'd been convicted of a public order offence or could any airline just add your name (possibly maliciously), what if your name is similar or exactly the same as someone on the list and you are denied boarding...
You can read about the "false positives" that the USA has had over the years with their No-Fly List here: https://en.wikipedia.org/wiki/No_Fly_List