I'll rephrase: they're not paying you to mindlessly churn out lines of code. The end product matters. But the bulk of that time is spent thinking, whether you

I'll rephrase: they're not paying you to mindlessly churn out lines of code. The end product matters. But the bulk of that time is spent thinking, whether you realise it or not, and frankly that's a much more useful perspective for the OP to take, as they're trying to reconcile their comfort with charging for time in meetings and lunch, because they think they're not being "productive".