You have some good input from those above...
While the mobile may be more forgiving in some ways, I have found heavy winds more difficult to play on the mobile platform. On the desktop with the larger screen you can use various methods or rely more on the grid box to somewhat measure or adjust wind offset. To an extent this can be done on mobile, but I just find it more finicky.
As noted above, putting can be different on the two platforms.
I feel I can score better on the desktop platform, but so can a lot of other people so it is hard to tell whether you are just another fish or playing well enough to actually win some credits.
On the mobile platform with the sponsor apparel, I find I can play a lower end ball like the L11 or L13 Srixon and still play competitively in coin games. I don't venture in the highest stakes rooms much as I figure the sharks feed there. Playing a lower end ball can save you thousands of credits over time, so that may be something to consider. Whereas if I play on the desktop and hope to have a chance in a WGT tournament, I generally feel I have to play a ball 2 or 3X more than what I would play on the mobile.
If I play the mobile only weekly tournament offered by WGT, the sponsor apparel is deactivate but is still worn and you play "standard" equipment again, then I will load in a better ball to have more spin and distance again.
I also find timing the meter on a small/med size tablet challenging at times, so I may look into JayW's suggestion on the mouse.