Not really. Things just take longer to dry IME. That in itself might cause issue if runs can gradually coalesce during this longer cure time.
The truoil bottle/website surely should give more detailed application procedure though.
I'm assuming you mean the warping of the wood. This is of course something to be wary of.
Stain is not the issue. Either water or alcohol it will absorb quickly and you are never putting it on thickly like the oil could be in places.