I've used the 1 1/4" screw for years, even before Kreig was around.  I also always use some adhesive and never had a frame come apart.  We used the evans system tub for several decades, building cabinets.  Kreig has simplified and made the pocket hole system available for home shops as well as commercial shops.  Not even sure if evans is still around. 

May want to check and make sure your set up is correct, perhaps drilling a tad deeper so your 1 1/4" screw has more meat into the wood.   Good Luck.

Set up is correct, the grain of the wood I am joining is what causes the problem, hence the slightly longer screw.

As I said, this was my work around, not necessarily yours or the next guy. But I'm glad to see your interest in helping others, it is appreciated. That what makes us all better & strive to build bigger & better.

Carl

Maybe a dumb suggestion here, but make sure you don't have drill chips left in your pocket holes.  I have had some breakout and just adjusted the drill bit a little shorter than the gauge shows.  No problems with 1 1/4" screws into 3/4" material.  Makes a strong and tight joint for me.  Also, make sure your clutch is set just tight enough to bottom out the screws and not over-tighten.