It really doesn’t matter how you tie it up….you will get exactly the same thing….just on the other side. With plain weave and the 2/2 twill, it won’t matter one bit….it will be the same….with the basket weave and twill it will be the same….same same same. With the turned twill is just reverses the blocks. The best thing is to put it on your loom and tie it up for sinking or rising shed and it will all work out.
Where the difference really matters is when you are weaving more complex structures like overshot, or crackle or summer and winter, even laces, in structures where one side of the cloth will look completely different than the other side…… and if you don’t understand the weave structure and you are looking at a picture and your weaving doesn’t look the same in the least…then look underneath the loom and voila….your pattern is there. You have two options at that point….keep going or change the tie-up by reversing it….all your empty tie-boxes become full with numbers and all your full tie-up boxes become empty and it will bring the pattern you are expecting to see to the other side.
(I know that the turned twill has two different sides but you will still get both of them no matter how you tie it up….your right side treadles make one surface and your left side treadles make the other surface…so you could just reverse those)