Oh shoot, Jar Jar is totally right!

It’s hard to make out the cane too much in the film, but I did find two shots: There’s this one, as they’re walking to Lando’s… er, RV? (Foolishly, I cut just before this shot from my demo above.) The cane is definitely in his right hand, in front of Poe. Then there’s this shot when he comes to console Poe; again, cane in the right hand.

There’s also this promotional picture, which has the cane in the right hand.

So like Jar Jar said, it might actually make more sense if we flip the first shot, and keep the cane in Lando’s right hand throughout.