They are right about no adaptation for the trailer electric brakes from the 4 pin to a 7 pin. A 7 pin trailer connector socket must be correctly wired to function safely.
A brake controller typically has 4 wires. +12, ground, brake switch, and trailer brake signal.
The 7 pin connector for the trailer plug also has +12v, ground,trailer brakes, brake lights, running lights, turn signals (left and right).
If you wanted to, you could make your own harness and find those wires int he rear of your vehicle for turn signals, running lights, brake lights. The ground, +12V and brake signal wire have to come from the brake controller, so it involves running long heavy duty wires from the front of the vehicle to the rear.
A good trailer shop should be able to do this in a couple hours.
A Tekonsha P3 is very good, and works with all styles of trailer electric brakes, so you could tow bigger trailers in the future it you wanted/needed to. It's adjustable and automatically self levels.