No need to buy a special adapter for a hook drive crank scissors jack. Use a 1/4 hex to half inch drive socket adapter and a proper sized socket. That's all.
I bought one of these adapters, around $12. Works well and I don't have to worry about losing a socket out of my set, or wearing the socket plating off the inside of the socket. Drive Scissor Jack Adaptor, 1/2in Scissor Jack Quick Drive for Jacks(28mm (VT17711)) https://a.co/d/dwMRqB3 SM-G781V ?
There's not much wear, if you use the correct sized socket. I can always go to the crank handle without using two wrenches to remove a commercial adapter. That's $12 I didn't need to spend and saved. I already had the socket.