The attached samples doesn't match the description. The samples are fine.
What I see is awful video, with compounded timing errors. Not just wiggly, but erratic signal and movements. Strong TBCs will be needed, not just the JVC line TBC.
The JVC line is just not adequate here, the ES10/15 will be needed for line duty. But again, the signal is erratic. The non-TBC frame sync of the ES10/15 will still pass errors on tapes like this. So an actual frame TBC will be required.
The reason that low-end units "don't have the problem" is because those all just push out whatever crappy signal exists on the tape, and you get whatever you get. Often unwatchable garbage, low quality at best.
But your findings have variables that make "don't have problems" highly suspect. Main (1) in general, AmaRecTV is not fixing anything, it's just hides issues. In some cases, you didn't probably tweak the defaults on
VirtualDub. I would never accept AmaRecTV as any sort of test constant, too unreliable. And (2) Avermedia has (almost) never made a quality card. It's not fully removed as a suspect.
BTW, if you see drops at exactly 00:06, the framerate is wrong somewhere.
Proper troubleshooting would have you use another recommended JVC PAL S-VHS VCR with line TBC, to verify your current unit is functioning properly. Just know that odds of is malfunctioning is extremely low, near-0% chance of that.
I think it really is as easy as
(1) getting a quality frame TBC
(2) getting a properly functioning ES10/15 type for strong+crippled line TBC
What you're encountering here is not unusual whatsoever. It just needs proper tools to allow a quality transfer. And not an incomplete workflow.