It is not in total "black and white"...and there is no "easy" one size fits all answer to your question. Better is a realtive term...better in what way?
Yes, the 12 inch will gather more light and this is a good thing...you should be able to see "fainter" objects...
However, cumbersomeness and cool down (or lack of cool down) will matter in how often and how much you will view.
All other things equal size will win but sometimes the "other things" can have much more impact on how you might use the scope.
I'd encourage you to go out and try some 10s and 12s before you jump in and buy...
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