if the cause of burnout is from overwork, then instead of moving, i'd consider part-time (say, 3-4 day work week).

If the cause of burnout is disillusionment - aka, you are such a small cog and your work doesn't seem to matter, despite how hard you actually worked - then moving to a different, but still big company, will not change that. Startups, imho, is where to move to, in order to feel impacts.

If the cause of burnout is project-based - aka, you just don't enjoy or feel the project is worthwhile - switching companies might work (a different project).

There's many other causes of burnout, and each will require individual solutions - there's no one size fits all.