Allegedly, on or about 01 November 2013, Greg Woods sent:
And for completeness: I did have this same card in the old machine that had the same issue. That machine was weirder because hibernate worked but suspend didn't.
Many many years ago, I had a similar hibernate/suspend foul-up on a Windows machine, and fooling around with the plug-in cards sorted things out. One card just wouldn't let it work, so it had to be abandoned. Another card needed moving around into a different slot, so it didn't share IRQs with something else.
PC cards are notorious for all kinds of bad behaviour (not adhering to specifications or standards, requiring special drivers to compensate for bad hardware design, etc.).