I have not found the tailstock Quill to be sloppy. Did you check the clearance.
My lathe does look like a Jet GH-1340 and 1440 models and the motor is Labeled JET---Go figure. If it is the same, seems to be a good buy from Quality Machine.
My lathe does look like a Jet GH-1340 and 1440 models and the motor is Labeled JET---Go figure. If it is the same, seems to be a good buy from Quality Machine.