No, actually it is preferable to store at -80, the key thing about RNAlater is the intention for doing RNA analysis, if on other hand you just do metagenomics through 16S for example, you are in no need for that, just store them as they come.
we use freezing at -80C most of the time (or -20C also works rather well). DNA is rather stable, while microbial RNA is prone to degradation. There are several stabilizing solutions on the market, but some of them make workflow less convenient. RNALater is a great product, and works for many sample types including stool- despite it was originally developed for preservation of RNA in tissue. the sample has to be spinned down though, and supernatant discarded- before NA purification