E.g. if it is the first blogpost you made. Chance are higher on medium to get it spread. Don't you think?

I think it's more likely to get an insignificant amount of readers from medium, especially on a recurring basis. They don't publish page views on posts but it's an open platform, the median post is going to get nothing but what you provide yourself.

You may end up marketing medium to market your blog to market your site which is a lot of steps for someone to take to become your user.

I actually decided to test this hypothesis if you're still around - so far the results are 80 visitors reaching my post via medium, 5620 via my own efforts.

And a second article I didn't try to promote anywhere, which got no views at all lol. It's pretty much BYO traffic.