Earlier quoted context omitted.
One might as well expect productivity to increase switching away from proprietary software. I would, at least. Taking your example of Gimp, I expect institutional adoption of free software would result in some people having it who didn't have Photoshop at all before. They can now become more productive and take less of other people's time.
Well, it could work either way I suppose, but in my experience, usability/productivity of desktop software is severely lacking in OSS software (unlike e.g server software). Perhaps due to problems attracting non-developers to work on them. Polish is expensive, but polish is productivity. The potential upside like you mention would be more licenses at lower cost. Whether that was a bottleneck depends on the organizati…
However, staff productivity is not generally a major concern in local government offices, as far as I can tell. Maybe Munich is different, but I doubt it...