To clarify 'wondering's' post a little further, and your first.
If you are accepted by an airline for training, normally you start with a safety pilot and after a few sectors he's not required and it'll just be you and the training captain. In your case they would have to keep the safety with you until you're checked out/cleared to operate on your own due to your OML restriction - I believe this is what the doctor was referring to. This is all extra cost to the airline when they have many (hundreds of) licensed pilots banging at their door with no restrictions.
Also if they already have another OML (who may have a temporary restriction but whose been with them for sometime) this is likely to create a roster/crewing headache that they'd rather not have.
I think that you're between a rock and a hard place and to convince an airline to spend more than they have to is going to be an uphill struggle.
