I don't think putting the game on an SSD would change load times since the game is all contained in one file. If there were different .swf files for each level, it probably would, but that is not the case for this game. However, processor speed may have an impact on load times, and flash player version is known for certain to have an impact on load times with at least run 2. The platform "Web" is indeed inaccurate but we can't really do anything about that since there is no "Flash" platform to choose from; all flash games on this site just use web as the platform. Web is going to be completely inaccurate once flash is removed from browsers in like two weeks, which provides some additional frustration to this issue. Regardless, runs will not be split up by platform, storage medium, etc.
I will add that the HTML5 version of this game will probably get its own subcategory once it is finished.