One thing that has just occurred to me is that he also adds an LED which obviously requires one of the poles, and that has simplified it. He can only be using 1 pole for each pot and so has to have compromised that resistance from both pots will always being in circuit no matter which is selected. That would explain why the existing pots have changed, because he's almost certainly replaced all the 5K pots with 10K to compensate for the way they have to be switched (two 10K pots in parallel equals 5K).
If one lug of each pot is grounded that would make it all much easier though, although that may be hoping for too much