I think it is all a question of what works best for you. I was taught the crab method but when I progressed to taildraggers I found that the wing-down method worked best (for me).
If I can, I set up wing-down as soon as I am lined up on final thus giving me the longest time to stabilise the approach.
The exeption has to be when you are flying an aircraft with wing tanks less than, say, 1/3 full. Prolonged wing-down can then lead to fuel starvation if you have the down-wing tank selected. If this is likely, the P.O.H. usually recommends crab followed by wing-down on short final.
Grass is much more forgiving for cross-wind landings than tarmac, particularly for taildraggers. Unfortunately you don't often get the choice.