Sometimes people get lucky! The designer has several valid reasons for stating this. The board is expected to work in a lot of different applications. If it were me I would cut the jumper, and I am saying this with a lot of design experience.
Initially I did not realize this solder jumper existed on the board, so I went ahead and powered the Nano through its 3.3V pin without cutting it.
It worked and seems to be powered just fine. But after realizing this solder jumper exists, I’m trying to understand how necessary cutting it is, if I still power it this way.
If the User manual says it is necessary then it must indeed be necessary.
If you want to run the risk of damaging the Nano or other devices then do what you wish.