It must just be a setting as you do not need anything special set up in Turn that you don't need in mill.
However I have a simple solution for you
Go to the Mach3 folder and copy your the xml for the mill profile you are using. Paste it to your desktop and rename it then copy and paste back to your Mach3 folder. Next use the Mach3 loader and select your renamed profile. When that opens go to View menu and Load Screens, from the file type at the bottom choose Turn Files (.lset) then choose the 1024.lset from the window. Click ok then the lathe screenset will load. Now close down Mach and reopen this profile and it will now be a lathe profile.
Hood