From an AP perspective, more burn cards = lower penetration (basically, these cards might as well be moved to the back of the shoe behind the cut card). Therefore, AP's dislike card burning.
From a Basic Strategy perspective, more burn cards = more frequent shuffles (ceteris paribus), which means slower rate of game play, which means more overall time spent at tables and more comped drinks! Therefore, BS players should join in the chorus of "Burn, Baby, Burn."
At Aria, Bellagio, MGM Grand and Monte Carlo, the policy was simply to burn one card at the start of a new shoe, with no one seeing the burn card. I never encountered more burning or the "Baccarat Burn."