So I did go and make some variants after all. Also they got a better name - Poe dolls - because #3's blades made me think of The Pit And The Pendulum. It has that same quirky sound as snickerdolls, which is nice.
Didn't end up putting distinctive seams on the wood, just changing blades and heads. I tried differences in the "spine", but I couldn't come up with two more that lived up to the (current) spiky mode.
#2's blades were intended as guillotine blades. You know, that lovely distinctive rectangle with an angled blade? Well I tried, but they just looked like boring square blades with a little perspective, no matter how I arranged them. A shame I couldn't take advantage of that powerful shape. Maybe I'll get a chance later on.
I don't like how un-puppet-like this pose is. I want a puppet with its arms and limbs dangling. It's cool that they have weight, and that works for them, but I don't feel they represent the puppet idea very well. Another reason to do a third puppet type - providing proper context. And I should probably make another puppeteer.