Sure, some amount of project management type work is expected when you're an engineer at a higher level (senior, staff, principal, etc). However, that's not the entire role. Before you reach those levels you should have a deep technical knowledge of how to write code and design systems.

If you don't have those fundamental skills, then you're not going to make a good engineer at higher levels.

If you do have those fundamental skills, but have never demonstrated them because you're too busy doing project management work, then why would anyone believe that you have those skills? Demonstrate them somehow.

If you want a role where project management type tasks are the whole role, then become a PM.