I was looking for a new job in the recent past along with a family member (both software eng. roles), and spent a good chunk of time doing research - reading articles like this - and practicing (eventually via companies early in my "pipeline"), and while I didn't use these lines verbatim, the conversation was actually a lot closer to that than you think.
And we both received NON-TRIVIAL adjustments to non-negotiable offers. And we were both very surprised it worked.
It may seem stilted or awkward, but I think that's the point. Recruiters and experienced managers have their own script that is more-or-less designed to make you feel awkward; make you feel like you're getting a great deal and asking for more is greedy. If you get more comfortable with being awkward, while still remaining professional and having clear expectations (vs. saying "not good enough, want more"), and you have a good alternative, you can use these strategies.