A pottery spinning wheel is not a category any supplier sells. The phrase mixes two unrelated machines, a spinning wheel for yarn and a potter's wheel for clay, and people searching it almost always want the second.
Which machine is meant
A potter's wheel: a motorised turntable with a pedal, on which clay is centred and thrown. A spinning wheel spins fibre into yarn and has no relationship to pottery at all beyond the word. Searching for a pottery spinning wheel will return both, which is why suppliers' own terminology is worth adopting.
What to look for instead
Search for a pottery wheel or a potter's wheel and compare stated centring capacity, wheel head diameter and pedal control. Those three separate the machines that will teach you to throw from the ones that will frustrate you, and they are printed on every supplier listing.
Powered and unpowered turntables
There is one unpowered turntable in pottery, the banding wheel, used for decorating and for building coil pots. It spins freely by hand and is inexpensive and genuinely useful, and it is not something you can throw on. If what you want is to turn a pot while you work on it rather than to throw, that is the purchase.
Getting the terminology right saves money
Buying the wrong machine because of a search term is more common in pottery than it should be, because several unrelated things spin. Wheel means throwing, banding wheel means decorating, and slab roller and extruder shape clay without either. Suppliers organise their catalogues that way.
Questions people ask about pottery spinning wheel
What is a pottery spinning wheel?
Not a real product category. People searching it want a potter's wheel, which is the motorised turntable clay is thrown on.
What is a banding wheel then?
An unpowered turntable used for decorating and hand building. You cannot throw on one.
What should I search for?
Pottery wheel or potter's wheel, then compare centring capacity, head diameter and pedal control.