> it allows me to automate simple things like writing small patches or config changes in a matter of minutes where before I would have invested hours

One of the problems here is that things like this only count as "increased productivity" in the economic sense if it results in more income at the end of the funnel. Are you actually making more product faster in all your new-found free time?

Very few orgs I've worked in have actually been limited by the speed of programmers writing code. Usually it's communication overhead and management processes eating up most of the bandwidth - and those tend to expand to absorb any additional bandwidth.