The problem as I see it, is you get an EICR done by some one you trust is able to give you a factually report on the condition, if one then finds any part of the report is incorrect, it means one can't trust any part of the report as they have shown they lack the knowledge required to make the report in the first case.
It is the same with most things one is told, if some one says a smart meter can make your lights switch on/off by clapping your hands, which you know is not the case, then you ignore everything else they say as clearly they have not got a clue what they are talking about.
So if the guy doing the EICR says you really need independent supplies because:-
1) It may trip in the middle of cooking, most likely the Christmas dinner.
2) The oven can only handle 15 amp, and so having a 40 amp MCB could cause the oven to become dangerous under fault conditions.
3) The 1.5 mm² cable feeding the oven is not big enough for a 40 over load.
4) You really should have a FCU feeding that oven
Then we can relate to what he has said, and say OK what is needed is a FCU, or some other method to make it safe.
But there is no requirement for a local isolator with non rotating machinery, or any under 0.37 kW. The cable used is large enough you say 6 mm² if there is an overload then only thing which will happen is the MCB will open so it fails safe, so unless some thing in the oven instructions which says maximum supply must be less than 40 amp, I can't see any reason for the comment.
I don't like doing EICR as it is so open, but at least we know must be part of the installation not part of an appliance, and it must relate to electrical safety, so lack of electrical items has nothing to do with the report, if the building has no lights, then that is not a reason to fail it. The same applies to anything else, we know a building must be habitable, but that is not our job, lack of smoke detectors is nothing to do with the report, it may fail a fire inspection report, but not an EICR.
However the English government has messed that up, “electrical installation” means fixed electrical cables or fixed electrical equipment located on the consumer’s side of the electricity supply meter;
They have included under installation fixed electrical equipment. But when we look at BS 7671 we get Electrical installation (abbr: installation). An assembly of associated electrical equipment having co-ordinated characteristics to fulfil Specific purposes.
We normally consider anything which would be included with the inspection and testing of in service electrical equipment, would not be tested or inspected with an EICR. So only equipment tested would be the lights.
The danger is with any inspection and testing is once one makes reference to some item, it can be assumed they are included, so if the surveyor doing a home buyers report makes comment about the disused fuse box in the ceiling space, one can assume he has also done an EICR. Unless he states otherwise.
So back to your oven, can you see the problem carrying all the installation instructions for all ovens so one can read up to see if there is a maximum overload allowed? It would be near impossible to know what every oven requires. And I will admit I have been surprised at what some installation instructions have required, I found one Bosch central heating boiler stipulating a type A RCD for example.
This is why I don't like doing EICR's. However it was only a code 3, so he is allowing you not to correct if you want to rent out the home, what I don't want is for some one when I have said the installation is OK, to then say in 10 years time, that was never OK, you have a claim here. Not heard of that happening, but if one mentions something, even if not coded, then no one can say you haven't done your job.
So I would put the comment under the inspectors get out of jail free card, he has pointed it out, just in case some one in the future says he did not do his job.