Chiming in to add to the agreement that this coding seems harsh, bordering on unreasonable - assuming that there isn't something that can't be seen or hasn't been mentioned.
Unfortunately (Or fortunately, depending on your view), EICRs are left to the engineering judgement of the inspector and are not merely a tick box exercise. However, any coding should be linked to relevant regs to back up the code, not just on the basis of what is 'nice'.
There is a general regulation that isolation should be available, and in a new installation, it would be good practise to put a fused spur to control this socket, but that doesn't mean the lack of it reaches the level of a C2 (potential danger) in my view.
In theory, as I read the law for landlords (Disclaimer: I am not a lawyer), you do not need to get the EICR reissued with a 'satisfactory' rating - you merely need to have confirmed in writing that "remedial works necessary" have been done. This, together with your original certificate, should then show that you have complied with the law.
So something in writing from a suitable electrician stating that the issues mentioned do not create a potential danger may cover you, and cost less than having yet another EICR done.
Unfortunately, letting agents or tenants will likely only see the 'unsatisfactory' on the EICR and have a negative reaction, so it's not the best situation.
Contacting the NICEIC is certainly worth doing, if only because it may raise an awkward question at the next assessment and ensure the contractor involved does at least know how to back up his findings with actual regulations.