DUDE! That's exactly how it happens! Sorry it didn't occur to any of us to warn you. That stiffness is down to geometry, not actual stiffness, though. Of course it is ACTUALLY stiffer, if you did the Perry reflex, than you would expect it to be for thickness, etc...
I actually remember really learning this while making a bamboo backed boofloo trilam. I always glue belly and core, then back into the same form for backing. Anyway, while tillering, I put a string on it that was too long, but short enough that the string touched the limbs for more than half their length, and the bow was semi-braced at about 2" at the handle.
When I tugged on that string it was SO stiff for 5-6" or so, felt like 80 lbs, I swear. Then the tips would come round and sort of toggle over, and you could feel the draw weight drop. When I got a real string on it at 5" + brace height, the bows initial draw weight was actually noticably LOWER than when braced 2", which seemed so weird to me then.