You will see such people at every company. What usually happens is that they will be able to scale up quickly but won’t be able to prove their worth after a point. Obviously it boils down to the management to notice such pompous people and nip them in the bud, but many a times they fail to do it. Also, such people do wonders in young startups and then drag the company down eventually.
Now coming to what you can do about it - nothing honestly. You have to make sure that you keep talking about your work to your seniors and highlight the impact. Keep your bases covered and your growth story will be one that you truly deserve.
You can’t win with such people and can only wait till their reality shows up as they fail to walk the talk.