I have no problem whatsoever with naming my male lambs then eating them. It started when we had just a handful of Jacobs, so there wouldn't be many going to the abattoir. The slight mistake was naming the first batch after children in the family so we would be sitting down to eat our rellies

With so few it was easy to identify which carcase belonged to which lamb, so each bag in the freezer was named. In fact that helped me to relate the quality of the meat to the general health and fitness of each lamb.
More recently we have had much greater numbers, so some get proper names, especially if we are hoping they will be registerable, and the others just get nick names (for example one was called 'wee
8@$t@3d', and another 'randy wee sod' but usually they're a bit nicer than that). With so many I can usually now only pick out who's who when on the hook by largest, smallest, tallest etc, or occasionally if one had a health problem at some point it will be reflected in the quality of the meat.
So in that respect recognising animals individually helps with assessing the crop.
Not eating your own meat seems the oddest thing to me. What's the point in raising meat animals on a tiny scale if they are not at least in part for your own consumption? By rejecting them you are implying they are somehow disgusting, especially if you then go on to eat someone else's meat whose provenance you don't know. If you are confident that you have raised your animals well, then you should put them in your own freezer and on your family's plate. That's my opinion and I know there are lots of folk who will disagree with it.
I have said lots of times before that another reason for us to name our meat boys is to do with respect. The animals we sacrifice for our needs deserve to have their lives acknowledged, and for them to be seen as individuals, not as just an anonymous slab of meat. When we have had larger numbers so we can't identify individuals once ready for butchering, then we recall them as a particular group, which we will recall at dinner time with the occasional: 'remember when......' We're not weirdo nature freaks of any kind, just country folk in tune with our animals, living at the pace they set.
We do also share a very black sense of humour