"Bubbling" can be one of two things- puckering or delamination.
Cloth is sensitive to humidity so steam and humidity without pressure from an iron or a pressing machine will cause puckering. Sadly, full-canvas garments are more susceptible to this puckering than fused garments.
Delamination is when the bond holding the fusible to the front is weakened and the fusible starts to peel away. Rain or water will not cause this. Only heat or certain types of solvent. The most common reason for delamination is from steaming a garment which softens the resin. Pressing involves steam but pressure is applied at the same time so the bond is not weakened.
The garment shown in the thread linked to above does not look like delamination- it looks like it was steamed or badly ironed. The wrinkling along the roll line is normal- the bridle tape which is applied along the roll line is pulled tight to prevent the lapel from gaping; the resulting wrinkles are pressed out and will only re-appear if steam is applied without sufficient pressure. The wrinkling along the edge of the lapel could be from a number of things, but steam is definitely what made it show up. A good pressing should correct it. Any other little wrinkles on the chest just look like they need a proper pressing.