You bring up an excellent point, and one that's easy to overlook, and that's pairings.
A guy like Monahan could be attractive to the Rangers because of the types of wingers they have as well.
Now a lot would depends on how comfortable Panarin and Monahan both feel passing back-hand to back-hand with passing. Some players aren't comfortable with that (see Jagr with right-handed centers).
But Panarin has shown chemistry with Zibanejad as well, and you could theoretically have either Kreider or Lafreniere frank flank Monahahan.