its not a workshop because it doesnt have workshop tools like a drill press and a circular saw
That's my definition.
And I have essentially no mechanical type stuff, so it's certainly not a workshop.
But even if it did, electronics "workshops" are traditionally know as electronics labs. At least in may part of the world.
An electronics lab at university or college for example is a place where electronics experiments and builds are done. They are ever called workshop, that's where the mechanical engineering students go.
So to me it's "the lab".
I got my first lab when I was maybe 8 or so. It was the back shed, but was always known as "the lab".
And the word lab also comes from the 50-in-1 kits I and many others started out with.
To many muggles I often call it the studio, because they know I shoot video/audio for a living.
Sagan knows is as daddy's office, because it's in an office building.