Engineering managers that also code a lot usually fall short on the managing part, at least in my experience. Imo it's better if they focus on building a great team, guiding the team in the right direction by doing code reviews and making the hard decisions and be somewhat of a shield between the devs and other internal or external stake holders. Sounds boring, but provides more value as a whole imo. It's also why i opted to not be a manager right now so that i can still code full time.

This does not apply if you are a <10 people company though.