I feel that every go around should be taught and executed the same way. Full power/thrust, same actions in the same order.
Procedural commonality is a beautiful thing. If full takeoff/go around power is difficult to trim it's probably valuable practise for the situation where it will all be needed, such as the IMC missed approach in the dinged old Chieftain at max weight.
A CAVOK go-around due to traffic is flown exactly the same as an IMC missed approach in the jet, as it was at every semi-professional Cessna/Piper/ turbo prop outfit that's ever had the misfortune to hire me.
The stress on the engines is less than going from cold-ish idle to full power/thrust on takeoff, and if you found you hadn't got rid of all the drag during your go-around, you might find yourself a little embarrassed when in a turn your available thrust starts to turn negative.
In short: teach one manoeuvre: full power/thrust go around, do it the same every time. The more you treat it like that other common manoeuvre , the takeoff, the better. So follow up is climb power/thrust and after takeoff checklist.