Having closely watched someone go through a director-level job search vs. having jobs thrown in my lap as a developer, empirical reality matches theory here, too.
The assumption is that someone leaving a director/VP level position will not find another job quickly.
They often have severance agreements that provide either large lump sum payouts to cover them while they look, or multi-month notice that they're being let go (I've seen 3 months and 12 months, with the expectation being that they'll continue in an advisory position and draw salary during that time, but focus mostly on job hunting).
I think you'll also find hiring managers receptive to that if you pitch it right. I know I'd be happy to hire somebody in that situation as long as they were really excited to get back to building things. The easiest people to manage are the ones who appreciate what good managers do and work with that, which should come naturally for you now.