The barrier to entry to those markets rises proportionally with saturation. By definition, it is completely impossible for everyone to become an entrepreneur, even in fields such as SaaS - as soon as it can be expected that competition will require you to scale to a level where you need one subordinate person to work for you.
Also, barrier to entry is a term that is also an artefact of the 19th century. Should we drop it? Of course not, it's useful. So is the distinction between owner and worker.
Empirically, for all this task about barriers to entry falling and everyone becoming an entrepreneur, the average size of a company has stayed about the same. Market and social forces are so that we will likely never have a society where everyone can be an entrepreneur. The reasons for this are complicated and go beyond "means of production", but it turns out those were also figured out somewhere in the 19th century, like many useful things.
Also, barrier to entry is a term that is also an artefact of the 19th century. Should we drop it? Of course not, it's useful. So is the distinction between owner and worker.
Empirically, for all this task about barriers to entry falling and everyone becoming an entrepreneur, the average size of a company has stayed about the same. Market and social forces are so that we will likely never have a society where everyone can be an entrepreneur. The reasons for this are complicated and go beyond "means of production", but it turns out those were also figured out somewhere in the 19th century, like many useful things.