"Competitive capitalism" is the one which is generally best for consumers, as businesses must compete, which drives down their margins (thus passing savings to consumers).

"Free market capitalism" is effectively hands off. Monopolies can form, and without any regulation it can become quite bad for consumers. Typically monopolies rarely form, but obviously in areas like utilities it happens quite naturally.

Most people strive for competitive capitalism, when used colloquially, IMO. In the general case they are one in the same, but owning whole platforms that are broadly used is new territory, where it bleeds into anti-consumer impact IMO