@dramypsyd I have a corporate entity that I established in 1997, under which I have performed a great deal of work.
At certain times since then, I've also taken W-2 roles with employers for various reasons.
What hasn't changed is that my "Current Employer" is always my own corporation. And, my corporation has NDA in place with all of my clients.
So, first, I have no "gaps in employment", and second when asked about certain experiences I can "talk about the experience but not attribute that work to a specific client". In some cases, I can state the name of the client, but not what service I performed for the client. U.S. Government entities are an example where I can state that my client was "Department of <insert name of department here>", but not what I did for them.
It's very useful to have an incorporated entity no matter how much or how little a professional may use it. It's been well worth it over my career so far.