Fish have no physiologic control over their body temperature, so any big change in water temp (up or down) is sure to be an unwelcome shock to their system.
However, drastically going from warm to cool is much more likely to cause stress and possible death than is going from cool to warm.
I keep all my tanks at 78 - 80 degrees.
When I've treated for ich in the past, I've knocked up the temp to 88 degrees within a few hours with no fish losses - I just made sure to increase the aeration.
But, one time, I purchased some black phantom tetras in the winter, and I forgot to bring along my styrofoam shipping carton. When I got them home, they were very lethargic - I checked the bag temp, and it was 68 degrees. I floated the bag for a long time, and drip acclimated the fish, but the damage had been done - they were all goners.