The range of the playback speaker definitely affects what frequencies will be generated, but a good mix will (should) translate well to any speaker set (smaller, mono, etc.). I use my phone quite often to playback mp3s to check them simply because most listeners are probably going to be using ear buds anyway... not much bass in those guys at all. It is an interesting litmus test to "dumb down" the playback system on a mix.
An ironic counterpoint... I have a set of old Cerwin Vega LS-15s that I have not used in years and powered them on a few weeks ago, and the bass on those guys from commercial material was overwhelming to me with a flat EQ. It made me realize how much frequency content we never hear because of the playback platform. I had grown accustomed to "tame bass" because only one other system could play those back, and I never actually heard them.
There is definitely merit in considering the most common playback options of listeners. While a good mix will translate well, not everyone has powerful (sub)woofers that they use normally. Bass frequencies also pack a lot of power, so can also make irate neighbors in short order... all they hear is the "thump thump," but it travels pretty far.