One thing I see is that the chain isn't on the pickup pin. If chains shift elsewhere than the designated place they aren't phased for the new sprocket to mesh, and will ride the tops until in phase before dropping in.
If you look at the photo, you'll see the chain starting out with the roller on the tip of a tooth, as you go farther along toward the rear it gets better and better, and I'd expect it to be dropping in within a few more teeth.
It's possible that the pickup pin is worn so there's no longer control in when it shifts, in which you've lost the "glide" in hyper glide, and it'll shift at any time and ride the top until it's in phase then engage (like before hyperglide was invented). Sometimes older chains act this way because they are more flexible than the design requirements, or possibly the inner ring isn't timed correctly -- is it the original and did anybody switch or remove it at any time?. Chainrings have timing marks so double check that they're aligned correctly.
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