In other words, maximizing prices invites all sorts of competition.
That is right in general. I think why people argue against that is when you integrate "time" into the equation.
We have a monopoly media landscape here in Germany. The public media collects a coercive tax to which you cannot say "no" by law. Even though they raised the fees over time this did not produce a competition since there is only one public media organization. All others are private ones. Since there is this fee there is not much need for competition amongst the public ones themselves.
The private classic media is to be said in the hands of corporates. I tend to the side that this represents indeed monopolies. Since this is being seen broadly as such, you are right when you say that these monopolies produce competitors. They are now all over the place in the Internet. But then you are confronted with the monopoly of google. Since google (and its bought companies) manipulates what things can be found and since the average media user needs to cope with ever more shifting and changing media offers he might not be able to catch up. But catching up on important information is crucial, right?
In order to compete with a monopolist you need to be known. To be known nowadays seems a lot harder than in the past, I suppose. To become a known competitor you need media. If media is dominated by few monopolists you might only get to know a competitor by what you are provided with to find in the Internet through the will of the monopolists. ... But then this will is not omnipotent, and it cannot control everything (or so I hope and think).
I found competitors myself but I would say that in order to compete with the monopolists they need to become more broadly known themselves. ... I am leaning towards the small and medium competitors instead having another becoming huge competitor (like the one founder of the youtube channel "Triggernometry" who says they want to become a "media empire"). I support them while they are not :)
But probably I have some flaws in my thinking. I am not overall sure. I just think that my and the older generation has a hard time to catch up on good competitors since information flow seems to be too fast. Maybe, there are too many small and not enough medium competitors.