They are two different things.
Let's set the record straight on leukoplakias going all the way to cancer. First white lesions are much less a threat than red ones. Leukoplakia about 25% of the time eventually converts to dysplasia, (a starting, measurable cell corruption that MIGHT continue to malignancy) and that is one step in the wrong direction. But remember it only happens 25% of the time. In all dysplastic cells you have low grade and high grade forms. Considering both types, only 25% of all dysplasia convert to malignancy. This is all out of Dr. Mark LIngen's papers who is a very highly regarded pathology researcher at UIC Chicago and an POCF advisory board member.
Yes you need to watch these things, particularly for any changes in them, but they are not wildly risky. If it starts to change I would have it burned off with a laser by an oral surgeon. It may or may not return, and it pretty much always does in tobacco users. That still doesn't mean that it progresses to cancer. There is no time period as suggested above for this to convert or do nothing. A leukoplakia could exist in you mouth for decades and do nothing. It could also grow and become dysplastic 25% of the time� but that it would do that in a 2 year time frame is a complete scientific unknown.
LIchen Planus is a different animal, it is an auto immune issue for which there is no real treatment, and does not convert to an oral cancer malignancy, though some SCC's have been found within an area of LP. That isn't the same thing as saying that LP converts to a malignancy. There is a difference between a correlation and a causation.
Your biopsy results are very clear that this is not a risky lesion, and that it has fungal qualities that can be treated and resolved. That makes this NOT leukoplakia, and a hyperplastic reaction to a fungal invasion.