Hi Martin, I have held a full licence for 40+ years, end date of my licence is
15 Mar 2023, like you my entry does not show class A as a full licence.
Rather it shows class A as provisional.
I hope that helps.
I had thought that although I had not passed a motorcycle test that I 'had' a full licence for that class of vehicle.
I didn't bother about provisionals as for the most part, a full licence for one group is automatically a provisional for the others if there are no additional requirements; age for example.
It sounds however as though you are in the same boat as me and your details don't return the correct result.
Worth noting, they do mostly log the correct start date so should get it right. (Mine is a month out, but as it is in the 70s, I'm not worrying).
A car test pass never did give a motorcycle licence but a pre-test licence might have covered it. But I think I'm correct in saying all holders of pre-test licences are now dead. 
