“It would enhance productivity” is not a sufficient justification for requiring someone to do something. Ignoring safety regulations would often enhance productivity, but I’m sure you understand why we shouldn’t do that.
Ignoring safety regulations would not enhance productivity in the long term, so that example doesn't quite prove the point. Productivity enhancement in general is sufficient justification for a company, as otherwise they can simply fire you, hence, to them, it is sufficient.
I was assuming that other requirements associated with the software were otherwise met. If you're simply less productive all other things being equal, you should probably be at least eased out especially if you're simply refusing to use appropriate tools (assuming those tools actually do enhance productivity).