It is true. I have bottles with a higher aspect ratio, but the diameter is only 0.1 m. The TSR of my old and patched up VAWT is barely above 1. That means the TSR (or spin ratio) of the bottle would be only 1/3. This is not a good value for an efficient Magnus effect.
I tested thinner bottles with a propeller connected via a bevel gear. The TSR of the propeller was 5 or 6 with the bottles of which the TSR (or spin ratio) was about 1. There was no perceptible lift, unlike the present VAWT with one 0.2 m diameter bottle (spin ratio until 2/3) but also with a far stronger wind.
I reproduce the video: