I personally prefer to use boiling water - apart from anything else - it speeds up my morning coffee significantly. This is a good thing.
The biggest improvement I got - assuming you are grinding the coffee appropriately - slightly finer than for Aeropress - was to change to the 'temperature surfing' method. Basically - you never allow the water to boil fully - you avoid the noisy, spluttery stage at the end. The theory being it stops the steam forcing bitter elements into the resulting cup. In my opinion this works. I got the technique from the channel of James Hoffman - you can find it here -
It's not as complex as it looks - and I've never bothered with running the pot under cold water, once you get used to it, it's easy to stop the reaction. Side by side it makes better coffee than the cold water/full boil technique in my opinion - by some margin. Something else I think is vital is that you need to pretty much fill the basket with coffee, if your brew is too strong - just add hot water and dilute to taste. Hope this helps - cheers - I.