2 stroke pop corn poppin motorcycles have something most planes do not have , a range of gear reductions to better allow matching engine speed to load. YES ,I know 4 stroke bikes have them too!
The problem as it applies to planes is while the two strokes do make more peak horsepower along with a higher noise level (that more people find objectionable) they do it at a HIGHER crankshaft speed. Unfortunately for airplanes the props are a lot less efficient at the higher speeds so the plane cannot make use of the power and the decreased effixciency also slows the planes response to power increases.
Flying wide open from take off to touchdown may not bring out the crucial differences as much as using the planes speed envelope will. There is nonetheless a difference preferrred by many flyers who DO use the left fore/aft stick .
Yes ,for the MOST part a two stroke of a given displacement will make more power,make more noise and burn more fuel than a four stroke. They also usually require BIG ,often HEAVY mufflers and bigger fuel tanks too . You may find some weight savings with the itty bitty prop

. In fact in many applications such as weed whips and outboards,motorcycles etc. The dirty little two strokes are being outlawed by the environmental types !
The fact is four strokes are getting a bigger percentage of the new engine sales every day as two stroke lose market share. More people are going to four strokes and STICKING with four strokes exlusively than vice versa .
Two strokes COST less because they are getting to be WORTHless