I think it's fair to say the 'discovery' that this boson exists came with the LHC experiments. But Higgs did discover in 1964 that the Higgs boson could explain why particles have mass. His paper couldn't say "this is definitely the way the universe is", but rather "if the universe plays by the rules we think it does, this is a relatively simple way to explain this thing we see".
And in my mind, both of those achievements are awesome.
It's definitely semantics and I'm not sure it is worth arguing if we understand what one another means. Unless we're clarifying.
But I do think it is good to discuss the role that others have played in the discovery. After receiving the 2017 Kip Thorne said (Weiss and Barish were the other two)
It is unfortunate that, due to the statutes of the Nobel Foundation, the prize has to go to no more than three people, when our marvelous discovery is the work of more than a thousand.
Even discoveries of the past were due to the efforts of many. Einstein's shoulder's of giants, which I jokingly refer to as "3 scientists in a trench coat, all the way down". But with modern science, the problems are more difficult and the effort to make these breakthroughs more clearly depends upon the work of hundreds or thousands. It is good to promote these ideas and this recognition. I think it can also help motivate us to better work together, and not letting us think we are a lowly unimportant cog in a giant machine. Because while we may be small cogs, our work is still important (even if not as important as others).
I still wouldn’t use the word “discover” in this context. Physics is not pure mathematics. There are many theories that just do not correspond to reality. Would you say that strings and extra dimensions have been discovered? No, we’d say they’ve been predicted by a certain theory, but not discovered yet — the prediction may not even be right!
And in my mind, both of those achievements are awesome.