My guess is you are connecting as a ultrapeer and you are probably doing searches not to long after getting turbo charged. The newer versions of LW appear to me to be having a hard time staying connected to host when searching and DL there are times I will have 32 connections and when I start searching it will drop to 22. I have found if I will wait until I have 40 or so it will usual stay in turbo but not always. Some times it will never get to 40 so it is the luck of the draw there.
If you disable UP mode and connect in leaf you should not have this problem.
AS for slowing down your internet connection I have noticed this also. The only way I have found to cure this so far is to reset my router when I notice slow internet. It could also be the amount of bandwidth you have LW set to UL at it should be set at 75% to 80% of you connection capabilities if you are set higher than that you are using all your available bandwidth on LW. I am currently doing some testing playing with port settings but I do not know if that will help yet

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A little common sense goes a long way

Later Grandpa