Only if you already have a good case to be there. Both are reasonable landing spots for teams leaving Twitter/X, and both cost almost nothing to claim, so there’s no risk in reserving your handle.
Bluesky has concentrated pockets of academic, journalism, policy, and technical users, which makes it useful if you sell into those worlds.
Threads has more general volume and inherits your Instagram identity, so it is easy to maintain if you are already on Instagram.
Neither platform has established itself as a B2B pipeline channel. Claim your handles so nobody else does, cross-post if your scheduler makes it free, and hold off on building strategy around either one until you can see your buyers there.
