Signal looks fine. But I have reservations about your CVBS/Composite to HDMI adapters.
Real ones are rare and expensive (100...200 Euro) and contain a lot of electronics. The adapter plugs you can buy in the local store you can forget completely.
Do what wasedadoc says and plug the signal into the yellow RCA/cinch receptable on your TV. That should work.
The horizontal syncs are bit excessive in duration, but that shouldn't matter much.
I really
hate the 'scope display, with all the extraneous extra stuff.
All that is needed is a display of the voltage levels at the various standard video references--blanking level, sync tips, & peak white.
The same applies to the timing intervals.
Multiple display of intermediate values just makes things confusing to those of us who don't own that particular style of DSO.
At this point, a photo of the effect on a monitor may be helpful ---does "runs from left to right" mean the pix is continually losing horizontal sync, or that the lines are locked, but progressively further left?
I'm wondering if the problem is that the "composite" video out of the R265A is not interlaced, but simply "progressive scan".
Old style analog monitors were quite forgiving & would pretty much sync to even the most non-standard video, but the converters & even the composite input of modern monitors need to convert the sync regime to HDMI or to their "native" standard, so have some way of correcting for the half line offset on "odd" fields.
If there isn't one, they may "get a bit confused".