Plants do not really speed the cycle as much as they bypass it. Healthy actively growing plants will uptake ammonia for their own use, so that part of the tank-generated ammonia never feeds the bacteria and is not converted to nitrite. If you have enough plants and the right light/CO2/ non-nitrogen supplements, etc, your plants will out-compete the bacteria, but the bottom line is reduced ammonia titer, no nitrite, no nitrate.