Increasing the temperature inside does help because it makes the inside surface of the window warmer too. We used to run a space heater in the living room to keep it warmer than the rest of the house and it did help a lot with condensation, at the cost of increased energy usage. The best solution is to replace the windows with a more energy efficient version, but that’s costly and not really an option if you don’t own the place.

For OP, window films is probably the most effective solution for the price. Part of the issue is older houses were so drafty that inside humidity wasn’t much different than outside. Then people start sealing things up to reduce energy costs, but that leads to cold spots that lead to condensation.