Aircraft reflect radio signals, this leads to local enhancements, doppler shifts etc.
Here's a picture of mine, analysing the audio signal from a distant beacon, showing two or three close-by aircraft. (50 MHz AM/morse beacon, the regular vertical bars are the morse code of the beacon).

And another, using a different signal source, the carrier of a very distant HF AM radio station. Ideally you select a beacon that illuminates the aircraft but not your station directly. You can see plenty of aircraft here.

You can hear the beating of the doppler-shifted signal with the original by ear when the offset / relative speed is small.
In the posters he shows something similar - that a local aircraft interferes with the strength and shape of the WSPR signals.
Also, Passive Bistatic radar exists and can track aircraft. One system I'm familiar with receives and processes several [fairly broad band] broadcast radio stations. It has three receiving sites located ~50 km around the area of interest.
Finally, HF propagation works well but the signals interact with an enormous volume of the ionosphere, and large patches of ground/water. Aircraft have a large RCS compared to fresh air, insects and birds, but not compared to the ground or the ionosphere in the middle of a decent skip path.
So I think it's a huge jump to go from this to suggesting that the WSPR records of successful decodes might contain information about distant flights.
There's no demonstration that aircraft can be detected by analysis of narrow-band signals, over long distances where ionospheric paths dominate. There's no plausible mechanism for it. And if there were, it would show up in careful analysis of wideband recordings, not the sort of decoded results stored in WSPR[.net?] databases.