I have already stated earlier in the thread that I am vegetarian. I haven't eaten meat for over 35 years, so I do have an idea of what it is like, actually.
Having lived abroad in countries where vegetarianism is a completely alien concept, and being able to remember a time when it was much more difficult here in the UK as well, I really don't think the options are that limited any more. Quite the contrary, actually, I usually really enjoy my food when I go out. I don't generally find the choices too limiting.
I don't know why you wouldn't be able to have either of the vegetarian starters listed on that menu, but obviously, if you have other dietary restrictions or very fussy tastes, then your choices are going to be more limited.
I'm surprised by your suggestion that veggie options for children are non-existent. My dd has adult meals now but she has never eaten meat and we never had a problem.
I am utterly bemused by your experiences tbh.