This actually isn't true. Electric engines do indeed release a lot less waste heat than internal combustion engines, but they also can't tolerate nearly as high of temperatures. And since heat dissipation is proportional to temperature, their cooling requirements (ie radiator) tend to be similar. Perhaps a bit less, but comparable.
Teslas actually do have radiators; they're just mounted low, so they're less obvious. The same could be done in most other cars, although admittedly the electric engine might allow for easier flexibility of layout to accomplish this.