Why my Honda Pilot produce a white smoke when I hit the gas?

I have a honda pilot 2004. Same issue started 3 years ago.It only smokes when I hit the gas. The smoke is white. The oil light will come off after 700 mile drive. I have to add 2.5q each time. Took it to honda dealer and the diagnosis was 2 cylindar heads need to be replaced and the head gasket. I do not trust them, because their recommendation was to get a new car. I am driving the car for 3 years now. I add oil twice a month with "stop smoke product" I use 5w-30 instead 5w-20. It works for me and planning to do so until it dies on me. I drove 1400 mile without a problem and did not need to add oil. It looks like when fast driving, the oil burn is way less.

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