Sorry you hear you have problems.
I built it and it works fine. I wouldn't share anything I didn't test first.
Can you post IC voltages?
I know your circuit is tested (well, we have also a video!), maybe I just did something wrong

I also re-did the PWM part of the circuit and now I have a clean signal, no strange noises.
Also if I connect from the pin 8 of the 40106 instead of the 9, I have a slightly volume boost but and a little distortion but still no phasing.
I'll post some voltages.
Note that I have a few differences from your schematic: didn't have a TL022 so I used a LM359 or TL072, but same result. Used two TL072 instead of one TL074.
Voltages:
CD40106 (signal to 4066 from pin 8 )
1 GND
2 4,49V
3 GND
4 4,49V
5 2,76V
6 0,14V
8 0,001V
9-10 4,49V
11 1,13V
12 4,49V
13 0,145V
HCF4066:
1 4,49V
2 4,49V
3 4,49V
4 4,49V
5 4,49V
6 4,49V
7 GND
8 4,49V
9 4,49V
10 4,49V
11 4,49V
12 4,49V
13 4,49V
14 4,49V
(looks suspicious?)
Input/output TL072 buffer:
1 4,49V
2 4,49V
3 4,02V
4 GND
5 4,49V
6 4,49V
7 4,37V
The phasing stages I think are fine, tried connecting some JFETS (with an LFO) instead of the 4066 and I have phasing.