Ok, I'm a sparky but this is free information outside my license
of course I'm happy to come consult for wine and expenses.
The first question is amperage, as in the wire size to the dryer outlet. Look at the breaker. It should be 30A, and if done by code will be the right wire size. Should be as the outlet you name is 30A. The destemmer you say is only 12, so you are good.
Both you reference are three wire circuits. Two are phase or hot conductors, the third is neutral. By the NEC in the US, the neutral and ground are the same for three wire circuits. Importantly to all of you, current code is a four wire circuit where there is a natural and ground conductor. These are better and safer.
So, if it were me, and this is free advice, I'd open the dryer outlet and see if they ran a four wire cable, if not, can you? The reason is the fourth wire gives you protection for a short in your crusher to the frame, bet it is metal, wet hands, etc. if not, don't panic, you can still do it, just not as safe.
1, if there are 4 wires to the dryer receptacle, swap it out for a four wire one. Then swap out the plug on the destemmer. Oh, you'll have to run a frame ground as well, so you can replace with a new " 4 wire dryer cord".
2. If you only have three wires, swap out either the receptacle or plug for the match. Usually the receptacle is easier. They sell them at the big box or hardware stores.
Both are good for 30 Amps. The 4 wire option just gives you more safety.
You can, and I recommend it, get a three wire two pole GFCI breaker. They are expensive, as in a $100 bucks or so, but will protect you from a short in the destemmer to the frame. That's the pro in me.
Anyway, easily done. Pm me if you want to talk it over.