I have had a Trangia for over 25 years and it is still going strong, mind you I have worn out and replaced most of the components over that time.
A few o rings due to a hot burner, a new burner after wearing it out(yes you can), a new kettle after the 1st one developed a couple of holes in the base, new pans when they started offering non stick and stainless steel versions.
I own and have used gas and multi fuel over the years but keep going back to the trangia.
It is simple to use and no moving parts to break, stable, great in strong winds,the pans can be used with other cookers, if the fuel leaks it won't ruin your kit, the fuel is available pretty much everywhere if you know what it is called in other countries and requires no preheating in the winter.
As for the wait time, simple, at the end of the day, drop your pack, set up the trangia and then start to make camp. 15 mins later you have water ready for a brew. Stick a rock on top of the Trangia and it can be left alone without any worries.
Now I am introducing my 7 & 9 year olds to the joys of camping it is perfect for them to use!