Try doing the video with a tripod supporting the phone. Your handheld video even braced to the table is too unstable to accurately judge the platter wobbling or not. To me this looks pretty normal but you’ve got some pretty great items there and I can understand you wanting it right.
Is this amount of record/tonearm bobbing "normal"
Most records sound fine, but a few of them (shoegaze, Interpol) with extended chords sound bad, uneven.
This could all be in my head. I'm new to this.
Kindly take a look at a brief video and tell me whether my platter is warped?