Whoah that's a cool idea Doug! Multiple stemmers at different times, did not think of that. Since they work against exact token text, would think the docs on this should be amended, at least to warn against too aggressively stemming before doing synonyms.
By the way, how is the performance on double stemming?
Looks like from the docs algorithmic stemmers are 400%-500% faster:
Algorithmic stemmers are typically four or five times faster than Hunspell stemmers.
Speed sensitive on this end, curious which of these is algorithmic (what does that even mean isn't everything an algorithm) so I can choose the most agressive one that is also "algorithmic" (faster). They aren't marked. 
Maybe by algorithmic they mean there is no attached dictionary lookup?