As far I can see, those two wires were connected not to the seat itself but to the seat belt lock, so its mean if you will have still the other seat , just swap the seat belt lock thing and you are sorted. I had exactly the same issue.
the light its not because airbag itself its for seat belt tensioner.

i had the same when i swop my seats in my e36 .

If you in Dublin you can pop in to me and I will connect to my laptop and delete it for you. (free of course)
I tried resistor (which I still have) and didn't work.

you can PM if you need.