And to clarify I don’t think doubleofive meant that Luke didn’t trust Leia and that’s why he gave R2 the piece of the map. If Luke didn’t trust her he wouldn’t have given it to TWO mutual allies.
It’s more like keeping a bad guy from just capturing R2 and having everything they need.
The real question is was Von Sydow protecting both Luke’s map and Rey? Did Luke know that if he sent people on a chase to find him, they’d also end up getting Rey involved somehow, because that’s how the Force works and how it worked with him?