Ok, but that's not really clear when reading this sentence:
That sounds like you're saying with the next batch of tomato sauce you make, you'll be adding a splash or white wine to it, as you ALSO do when making a meat sauce. Therefore, white wine is being added to both.
Oh, and again if you want to be authentic and are adding wine to a meat sauce (which many Italians don't) then it should be red wine, preferably something like a good Chianti. But, if you prefer the flavour white wine imparts, then that's all that matters!
Marco.