No. With the change to a 4 prong dryer outlet you would wire it this way:One more question
Let's say someday I do have access to a 4 prong receptacle. I will have a 3 prong plug bringing power to my spa panel.
So would I just be able to get a 4 prong plug to match the receptacle and only connect the 2 hots and neutral (leave ground empty on the plug)?

I hope this helps you.
P-J