Softening can happen with crap resin systems at any point... In general terms though, going soft can happen if the cure has remained at ambient temps during manufacture or someone has screwed up the mix ratio.
Post-curing is a very important part of any lamination process to get max properties from epoxy resin. If the resin has only ever reached 50? during manufacture, if it reaches 65? at a later date, it can soften slightly. If the resin has been post-cured at 70? then it is highly unlikely it would soften at 65?.
One important governing factor why boards are often not cured above 65? is a styrene core can begin to de-gas and breakdown at 70?. When I'm making yacht kit finished with clear over carbon (no shaped core like a board) I post cure at 105? to ensure the resin has been cured above operating temps; in direct sunlight on a 40? day, I've tested black stuff and seen surface temps exceed 90? and go as high as 110?.
All reasons to look after ya sticks when it starts getting hot.