I hesitate to reply, because my mechanical skills are pretty much tapped at changing the oil and tightening the chain, and I'm not that savvy on the R65 (yet). But my recent experience may shed some light on this for you.
I bought an '86 R65 last fall and put a few hundred miles on it, and then took it into the shop to have it worked on because it was starting hard and some other minor issues. During the check out, the mechanic found the steering head was loose. He tried to tighten it first, but ended up replacing (2) tapered roller bearings and the protection cap.
I was shocked how that fix affected the steering. Since each bike handles differently, I didn't realize how bad the steering was until it was fixed. Rock solid now - handles like my old ninja - like on a rail. No wobble now, and no "skittering" through the corners. The R65 was sort of goosey on gravel roads prior to that work, and now it seems as steady as my 2015 GS handled.
Maybe some of the other folks here can suggest a different fix - but while I was a bit concerned about the need for the repair (only 14,500 miles on the machine) and not knowing the shop that well, I must say - at least for me - it was money well spent. Now that I've had a couple of other bikes worked on and even a trade and a new bike purchased from the shop, I can say with some conviction it was the proper repair.
Good luck.