I agree entirely, Tesla should be putting individuals name on the V5C and not the company but that is not happening, they are putting the company name only. There is of course no way to discuss this with Tesla deliveries.
I agree also in that amendments in V5C box 3 are not change of keeper but are amendments to existing keeper details. DVLA are processing name changes in box 3 incorrectly as a change of keeper, which it is not. Change of keeper is a different process. I know this because I am currently in dispute with DVLA over this exact issue.
I would prefer my name and not the company name on the V5C (the address is the same) because insurance companies like it like that. Despite the address remaining the same, the DVLA treated it as a change of keeper. DVLA do not have a telephone number for queries like this so I'm waiting for them to resolve the issue, ideally my name and the company name can both go on the V5C. Don't know if that's possible, lets wait and see.
If the 5 year luxury tax period starts now instead of next year then, that's not actually a terrible outcome. DVLA should come back to me by tomorrow. In the meantime I'm untaxed.
What happens with lease cars, do the lease companies keep the V5C as registered keeper?