yes that sprocket is fine but note he charges $5 shipping. did you ask some of the 2-stroke guys here about your tuning issue before purchase. i ask because it does take some effort to change sprockets especially if you are using the pineapple rubber mounts.
the 44t to 36t is a big jump; generally its is about 3/4 mph per T so you are probably gaining about 6 mph at the peak HP RPMs IF your motor can pull you at that RPM aka you are a light or average weight rider and not many hills. at lower rpm you will have to pedal a bit more and at high rpm the motor might not have enough hp to push you beyond your top speed on 44T.
actually, i have a 36T sprocket you can have. it is dirty and greasy as hell but with some polishing it should shine again. i use to use it on my 2-stroke bike (retired) i am a 4-stroke guy now and will never use it due to my gearing and hills. just pm me your address and ill send it out and lets do the honor system and just send me the shipping cost when you get it.
also, incase the performance is not what you expected, i would set up the 36T sprocket and chain tensioner so that you do not need to remove links. if the performance is good then afterwards go ahead and adjust the tensioner for max adjustment and shorten the chain.