If you keep your home heated/cooled to the same temperate as you want to keep your tank, then no. The tank will stay the same as the ambient room temp. But if your room temp varies from night to day, or from season to season, more than you want your tank temp to vary, then yes, you would need heaters (and/or a chiller).
If you do decide to let your tank run at the same temp as your home, keep in mind that your house HVAC system needs to be capable of keeping your home temp pretty stable.
And any time you do significant water changes, you'll need to make sure the new water is the same temp as your tank. Because, depending on the size of your tank, it will take several hours to days for the tank to reach/return to ambient room temp without the aid of a heater and/or chiller.