The change is gradual and only a couple of degrees, so I don't think you have anything to worry about. I have two tanks in my four season room where the room is not heated at night in the winter time or cooled in the summer time and they fluctuate a couple of degrees as well with no ill effects.
As for the heater itself, it depends on the brand and tank size it's rated for. Not all published ratings are true and only experience will tell you differently. Eheim Jagers are the best IME and I always have two heaters in my tanks to maintain an even consistent temperature with in a 1-2 degree fluctuation at most.
I've also had good experience with my Finnex w/controller's from Kensfish.com (not the digital kind that reset to 81F after a power outage) that are the dial a degree type. They even have a model that has nice safety features with auto shut off if exposed to air or exceeds the desired temp so as to not cook your fish if the thermostat sensor fails.