Ask HN: When is a personal project more?

I have a personal project I've worked on for a few months and I wonder what stops me from adding it on my LinkedIn as a job and putting myself as CEO/Owner (or something to that effect).

What differentiates a personal project from something more? If I go obtain an LLC, is it ok to then put it under experience? Does I have to make money off of it? There are many startups in the red.

It seems to me that it would greatly benefit me to start an LLC and put all of my personal projects under it. Is this ok to do? Why do more not do it?

If all this is ok, can the company's inception be pinpointed at the beginning of a personal project? Or can the company only begin at the inception of the LLC?

I'm not sure if I'm asking the right questions but I hope I get the general idea across. Anything else you think I ought to know, please add.