I've worked at companies, and know others who work at companies, where being an Engineering Managers means you're 90% developer and 10% manager. You're expected to do one on ones, assign work, but mostly code.
I would expect that to be called tech lead. Though probably closer to 80/20 (or lower) than 90/10 by the time you include all the extra work and meetings he or she has to go to by dint of being in that role (vs say the next most senior engineer).