I do not think self-employment damages your employability so long as you have something to talk about at interviews. Self-employment is still employment. Any employer that is going to be successful in talent acquisition among the younger generations will know this.

The tech industry illustrates this regularly with company cultures that embrace diverse career backgrounds.

Of course i think your field will probably determine how much my statement applies. For my field in software, independent contracting is a common feature in ones work history especially for the younger generations. I would look at your peers in your industry and domain for clues.