I have read, and listened to opinions on both sides. This topic will never have an end. I have played with; and own both styles. I have 14.5" rifles in midlength and carbine, and I have 16" rifles in midlength and carbine.
I mention this because the only difference I notice with the 2 styles of BCG (all of mine are top quality BCGs) is that in a carbine, expecially the 16", the extra weight makes it a bit smoother to shoot. Having said that, I can add an H buffer, switch back to the SA, and achieve the same thing. The 16" carbine is obviously a bit overgassed, so this is a bandaid.
My midlength rifles could care less. With a carbine buffer, I notice no difference at all. I haven't done extensive testing, as swapping bolts in and out of carriers tends to eat up my range time.
In short, it seems to me that the felt recoil, or comfort in my carbine gas rifles is the only significant difference. I do run FA BCGs in all of my 5.56 rifles, now. I have SA as spare.. I recently moved one of those WMD super whiz bang BCGs in place of one of my DD SA units. Hoping that was not a mistake.
I wish I knew for certain that one was better, but I don't. Arfcom says run the full auto, so you must assimilate, or be destroyed