Here's a video of hydraulic pressing carbon fiber to its breaking point: https://youtube.com/watch?v=xWTXeGiM8K8
It deforms, fibers break, and thus the load decreases as the deflection stays relatively constant in that time frame.
With external pressure the load doesn't decrease. Fibers break -> deflection increases -> more fibers break. There isn't load relief as long as the vessel is still holding pressure.