> I am a CTO
> "but I don't really do CTO things"
so you’re not a CTO according to your own definition of what a CTO does then.
my previous employment i was “lead engineer”. i got to pick that title. had a 1 day per week part timer reporting to me. similar company description. making technical decisions. strategy meetings with CEO and founder etc.
i was not a lead engineer and ive since changed my linkedin page/cv to just say “engineer”. who or what was i leading? a contractor in ukraine who did work for us one day a week? nah, need a team (ie more than 1) to be able to lead.
do the brave thing and call bullshit on yourself. this is something good leaders do.