I struggle to see what dangers are introduced by the bit of wire from each machine terminating in a plug+socket instead of fixed connections.
Tempting as it is, it never really works to think in terms of the regulations themselves when considering the risks.
Changing all of the sockets and plugs to 63 amp would also comply, as discussed in a similar thread of mine. But neither fixed wiring or changing the sockets affects the safety of the end user if everything is installed correctly, the equipment is in perfect order, and no one does anything silly.
Off the top of my head, the obvious risks are:
-damaged flex impairing electrical safety, especially if the ovens are moved around
-damaged appliance impairing electrical safety
-unsafe equipment being unexpectedly connected to the sockets
-faulty elements causing increasingly significant earth leakage to Class I items increasing the risk of electric shock to operators.
The control measures could be as simple as a sign by each socket saying they aren't to be used for anything else, (or padlocking them), a more regular schedule of In Service (PAT) testing, and a stipulation that if the ovens are moved, they are tested.
You might decide that the above control measures sufficiently mitigate the risks and be willing to put your name to them.
I'm not saying they necessarily do, but that's the thinking process I use for risk assessments. The regulations themselves aren't too relevant!