Who puts their speakers right up against the back wall and why?


Aside from Klipsch corner speakers, who does this?
redwoodaudio
There's a better solution for about the exact price of 4 ASC Tube Traps ($3,200). It's called the Audio Kinesis Swarm distributed bass array (DBA) system,it was mentioned earlier on this thread and it's a much more elegant solution than bass traps. It provides near sota bass performance in virtually any domestic sized room and integrates seamlessly with virtually any pair of main speakers, regardless of main speaker type (dynamic, planar-magnetic or
electrostatic).  
I have the DEBRA which is basically the same as SWARM. As Noble mentioned, it entirely got rid of the bass problems in my room. I went through subwoofer or no sub and tried up to 2 subs, but this is the ticket people! Best money I spent on my system so far. 
I have Larsen 6.2s right against the wall and they sound great. Also no fuss over placement and out of the way. My Polk Audio Monitor 7s in the vintage basement system are out from the wall and are quite satisfactory.
Yes, Larsen speakers are designed to go right against the front wall. Unlike Klipschorns and Audio Note speakers, they do not have to be placed in symmetrical corners providing far more flexibility. Bass response always surprises everyone that hears them.

I have large room that I've tried several dozen very high quality speakers in over forty years. I finally have found total satisfaction with a pair of Larsen 8.2 speakers. I hope to be able to afford a pair of Larsen 9 speakers one day.
It all depends on the speaker. I’ve heard the Wilson Tiny Tots up against the wall and they sounded fantastic. If your speakers are rear ported, you want them to breathe, if they are front ported, then you have options. I have large floor standing speakers and they are 7’ from the wall behind them.
No matter where you place the speakers, you are always going to have reflection issues: 1st reflection, 2nd reflection, ceiling and floor. All reflections should be dealt with.
ASC aren’t the only vendor that makes bass traps. I use both ASC and GIK bass traps. Check out both of these companies plus acoustic field and others.