Can someone explain what makes a lead screw strictly metric or imperial as far as the dial is concerned? Have a junky Chinese lathe at work that will cut metric and imperial using the dial in a normal fashion with just a gear change.
If the lead screw is an inch pitch, then there will be a simple ratio between the number of lead screw turns and part revolutions.
For instance, with an 8tpi lead screw, it'll turn 1:1 with the part when making an 8tpi thread. It'll turn half the speed of the part when cutting a 16tpi thread, and 1/4 when cutting a 32tpi. For those even ratio pitches, you can lock the halfnut anytime and it will chase the threads correctly.
If you want to cut a 13tpi lead screw, the part spins 13 times for every time the lead screw turns 8 times. This is where the thread counter comes in - there are usually 8 teeth on the gear, so it takes 8 turns (1 inch) to get the dial all the the way around. That means if the dial lines up, the lead screw will have moved some integer multiple of 8 revolutions, which means the part will have moved some multiple of 13 revolutions, and they will sync back up at the right spot if you engage the half nut at that point.
If you want to cut an M1.0 thread, which is the same as a 25.4tpi thread, you need to engage the half nut after the part has spun a multiple of 127 times (127 is 25.4x5, which is the smallest integer multiple of 25.4)
So, the only way to make a thread dial work for both metric and imperial is to use multiples of 127, which would mean a large gear-box thread dial (they exist) and waiting forever for the next alignment.
Your cheap lathe can't possibly have a simple thread dial that works on metric and inch threads. Try cutting a 1.00 mm thread, and a 28tpi thread. One will fail. (Or just measure the lead screw pitch).