They do, and I guessed right, it's a 10-30 outlet which has two hots and a neutral but no ground. You say a 240-volt appliance does not need a neutral, but many appliances that took most of their power at 240V still had some 120V components, e.g. the timer in a 240V dryer, which ran between one hot and neutral. Obviously your lift requires only 240 but presumably does need a ground.
Today I believe an L6-30 or at least a 6-30 would be specced, as this has the two hots and ground but no neutral. I don't know the NEC well enough to say what would need to be done to change it to meet code