> I’m a senior engineer who is expected to be a tech lead for my team and work on cross functional projects.
Shouldn't the title then be "Is it bad that I don't want to be a tech lead?"?
I think that there is a distinction between a tech lead and a senior engineer. As a tech lead you have more responsibility for the success of a given project while as a senior engineer you're (mostly) responsible for your own contributions.
So is it bad if you don't want to be a senior engineeer? Yes, because it's a very natural progression from being a non-senior engineer. It would almost be like saying that you don't want to be good at your job.
Is it bad if you don't want to be a tech lead? Not at all, it's a different job, requires a different skillset and you should absolutely be able to turn it down if it isn't for you.