Hey deeaa! Good to hear from you again. I used parallel wiring on my old single humbucker Fender Showmaster Celtic (which I wish I never would have sold). It added a lot of flexibility. With that pickup--a Fender Atomic--it sounded great, much like your recording. I also tried it with the Lace Hot Gold I had at the bridge of my Squier 51. It was the bridge version so it was hot and dark: 26K resistance. With that pickup parallel wiring sounded like crap. I thought I had accidentally gotten them out of phase with each other, but I didn't. I ended up switching it back to coil splitting.

Another nice feature of doing it this way rather than coil splitting is that it remains fully humbucking.