This is why I align on comp ranges rather than title. I've been a "Lead" where all I contributed was a new imaging pipeline and introducing NAT to the product line, a "Manager" of a failing company where I had no managerial authority or direct reports, and a "Senior" at a SV firm where I actually behaved a level above a Senior Engineer - owning outcomes, doing research, mentoring juniors, building relationships across silos, governance councils, etc.

Titles are fungible, but your comp isn't. Don't let a company sell you on a better title for less comp, especially when the JD or role doesn't align with the title; the next place won't give a shit what your title was if all you did was Junior-level work because you bought into someone else's narrative rather than control your own.

I've worked with several "Directors" that all had between 0 and 3 reports. Vanity titles make people feel good and look nice on a resume, but that's about it.