Interesting post MM and the link to all the mowers ,I've had multiples of all of those mowers you showed and still have too many mowers now.
I had another quick look for a carby and this one below was about the closest but throttle butterfly is working the wrong way.
Sometimes you need to change wording for better search results ,for some reason searching (pump carb industrial power tools) worked better.
The old days you just went to a mower shop with the old carby but these days they say we don't stock parts and order in bulk for free postage and can't tell you when they will order the part or when you will get the part ,that's if they want to help but now just say they don't stock the part you are after.