It’s not even the same melody…
I think it is. It's the same line as the ones in verses in Police' song
for example at 0:40
https://youtu.be/EuuX_t3c_2A?t=40
I never found the similarity. I know both songs very well and, well, whatever.
As far as I recall, Sting was embarrassed by sharing credits in MFN for that, but his manager insisted, and also his lawyer, asked by his manager. I don't know why MK accepted that, probably they get on well but I wouldn't say they were friends enough to share a credit for the first time (what's the matter baby was officially released in 1995, the only other song with shared credits in DS), or maybe because of they were not friends enough, he had to allow that...
For me it's stupid, the melody is similar in a way, but not as much for that.