looks like the core component is a tiny QFN-style package,
Yeah - that, too. More importantly, it has a buried ground pad which means you can't solder this with an iron. You can kind-of-do-it with hot air though it means getting the component above its comfortable temperature (probably) since you have to get the component hot enough to melt solder underneath it _from the top_.
This is doable at home with a hotplate though, it's small enough. You don't really need a stencil, it's possible to just tin the pads, apply a bunch of flux, and let soldermask and surface tension work their magic. I'd really recommend a hotplate at home if you're doing SMD. You'd want to hotplate this first, before doing the through-hole stuff, which would make it stand proud of the hotplate on the pins and it wouldn't heat enough.
There are a couple of really great little hotplates - in particular the
AlienTek HP-20 almost feels like it was made for guitar pedals. It has a heating surface of 100x60mm, which is about as large as you'd want to make a board for a 125B. It's basically the exact size I use for my designs that integrate the jacks at top and span all the way to the footswitch pins.
FWIW, I'm learning that AI actually can lay out boards and create reasonably human-readable schematics. I'm hacking at something not guitar-pedal-related -- making a dipole antenna for a ADS-B receiver, and Fable 5.1 has done an actually pretty good job with layout. I'd never have it create a guitar effect -- why automate my hobby -- this is a money sink for me, not a business. But what it DOES do well is verification - highly recommended to have an agent review your schematics and layouts before production.
I think like anything else it's garbage-in-garbage-out, you kind of have to know what you're doing first so you know what to ask for and know what to verify.