It usually can, actually, assuming you're going to a company of roughly the same stature. I.e. if work at a small company, your title doesn't mean much when going to a large company unless you're otherwise known in your field. And if you're a Staff engineer working at e.g. FANG, you can demand the "God Emperor" type title at a small company and you'll probably get it if they feel they need you.
The only things that matter are really:
1. Whether you'd enjoy the work
2. How much you get paid
Titles are arbitrary and they don't mean anything outside a particular company. Even between otherwise comparable companies there are significant misalignments, see e.g. https://www.levels.fyi/SE/Google/Facebook/Microsoft