Not parent poster but I've seen more and more startups setting up their jiras with whatever the folks who invented "safe" (scaled agile framework) say, while obsessing over measuring and predicting delivery metrics, all in order to have hard data to backup roadmap claims.
Were you working at an agency or consultancy that billed hours to clients?
I've never seen a good engineering organization use time tracking software on their engineers.
I'd go so far as to take it as a major negative sign against the company if your time is being tracked like that. Exceptions of course to any business that is billing hours, which obviously must be tracked. However, even those organizations are smart enough to know that writing code isn't the only productive activity.