Yes good points. There are of course also plenty of other examples of capitalists asking the state to protect them from competitive pressures, for example with tariffs.
Whether capitalism without competition is still capitalism is a matter of decades of debate.
Some scholars have felt the need to add an adjective, like monopoly capitalism. Others, like Varoufakis, are exploring other terms, like technofeudalism.



@schnurrito I made an attempt recently: https://mishathings.org/posts/what-is-capitalism/
https://mishathings.org/posts/what-is-capitalism/