Yes, he says he avoids them wherever he can, and he is totally right - you can get away with very little compression, or even with no compression at all in some cases, if the material is recorded decently (which is almost never the case with homerecorded stuff, btw). You can ride the volume faders instead, if you want to control the gain, and thus preserve the natural feel (transients).
Mr. Swedien admits that he breaks the "rules" for the sake of sound though - in other words, he will do whatever it takes to get there. Compressors just won't be his first choice.
But, to be honest: Even though I agree with him about modern music being terribly over-compressed and about compressors being misused for all the wrong reasons, I don't really care what he (or anybody else) thinks, says or does. It does not matter how you achieve the goal as long as you do achieve it. There are always many ways to get there, and compression can be used for much more than just volume control. It's also a sound shaping tool, and you limit yourself if you refuse them by principle.