It doesn't need to imply anything. It's an ideology, those promoting it will say whatever BS attracts people to it. In practice, what is happening in capitalist countries since 1970s (when they abandoned all pretense) is that the rich get way richer and everybody else is fucked.
Talk about a crap educational system.
It comes to a point where they need an underclass to insulate them from the masses; look how cheaply Trump bought his paramilitary though, he only had to spend the money taken from those he's suppressing, didn't even have to reduce his own wealth one bit; the military and his new brown shirts will ensure the rich stay rich and that eventually there is massive starvation (possibly water/fuel poverty first).
Or USA recovers the constitution, recognises climate change and start to do something about it.
It seems like the whole of humanities future hinges on a handful of billionaires megalomania and that riding on the coattails of Trump's need to not face justice for his crimes.
However capitalism is perfectly compatible with a progressives taxation system such that the rich get richer at a lesser rate than the poor get richer.
You realise that a large swathe of society earn less than their costs?
Everyone will get richer perpetually, there will never be any impact on climate, we'll never suffer water shortages, we'll all ride unicorns and eat rainbows...
The thing is a capitalistic country will gladly turn itself into an authoritarian one if both wealth becomes concentrated and wealth buys votes. With the massive rise in authoritarian activities all over the world, especially in the US our democratic system is at very high risk of collapsing.
It is necessarily the case. Capitalism is characterized by private ownership of capital, which among other things means that it's possible to accrue it without limit. So the loop whereby the rich accumulate capital, which then allows them to extract even more value produced by workers (i.e. people who actually do useful things with said capital), is an inherent part of capitalism.
You can make it more mellow by heavily taxing the capitalists and using that money to raise the standard of living for everyone else, which is basically what Western social democracy is. But it doesn't eliminate the loop, and thus rich continue getting richer. And more powerful, too, which they use to dial said taxation back eventually.