Head of TA here who was in Executive Search earlier. Worked in startups for over 5 years.
Talent Acquisition is a part of the overall HR function. While primarily it is a sales role, it is a the part of the overall talent management function that covers hiring to exit. It is essentially a COE function that means a company can can have a centralised TA org. Other such functions being Comp & Ben, L&D, etc.
Most of the CHROs at some point in their career have done Talent Acquisition but generally have moved on to other HR functions to gain over all experience.
Your first Head of TA role generally can come to you with about 10 years of work experience and then the career growth starts to flatten both in terms of variety and compensation unless you successfully keep on moving to large organisations. Comp can vary from 30L levels to Crore plus depending on organisation.
One of the inherent risks in this function is that it is a leading function and is first one to get impacted. If a company raises funds - they build thier TA function, if there is a downturn, usually TA folks are first to leave.
Suggest spending a few years in talent Acquisition but acquiring taste for wider HR functions for continued steep growth.
Else, suggest researching about Executive Search firms like Egon, Korn Ferry etc. These are true blue executive search firms that deal in C-level candidate placement where compensation is effort based as it would happen in any consulting organisation.