There really isn’t a reason not to, other than it doesn’t really do anything much for you. I was supremely motivated to do it myself, but when I got to the end of a lot of research, I understood that. I chose to not Buy-Amp and saved myself near $1k in amplification.
My rig performs just fine. I do not feel like I’ve left something on the table.
Now, the bugaboo... if you use your AVR, you aren’t getting the true benefits (not that there actually are any) of Bi-Amping because you are just using the single Amp stage of your AVR, which will actually rob a little potential output from each channels maximum output in stereo usage only.
The AVR ‘trick’ isn’t really anything more than a marketing ploy, I’m afraid.
True active bi-amping can be beneficial, but is much more expensive and complicated to do properly as it would involve bypassing the XO network of the speaker, adding them back externally for each driver, and adding external amplification for each driver. See this link for more details:
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Now. As I said before, you are welcome to do it. Just make certain you set it all up properly, safely. If you do not remove the jumper on your speakers, for example, you could easily kill you gear.
Cheers.