I am not saying that I am "pro cooler" or "pro stainless" but I wanted to address your reasons, because I dislike the way misinformation like yours spreads on the internet.
1. Thermometer mounted in the tun tells me exactly what's going on inside
OK well I suppose that is maybe important if you are just starting out or are a nervous wreck when brewing. Once I dial in my temp, I know it's dialed in so I don't have to check it compulsively.
2. Holds temperature very evenly
Coolers are designed to hold temperatures, and they are insulated much better than a thin-walled stainless steel container. I cannot possibly imagine that your stainless steel mash tun holds temperatures better than a cooler. Maybe you were using the cooler incorrectly? Did you preheat it?
3. When temperature drops just add a little heat instead of boiling water
I don't experience temperature drops. I will lose maybe 1-2 degrees Fahrenheit over an hour-long mash. The most important factor is not opening up the cooler once you have doughed in and gotten to your target mash temp. Close it, and keep it closed. Opening to check the temperature is going to let all the heat out.
4. Improved efficiency through consistent mash temperature
Unless you are getting your temp down to the 120's or 130's during the mash to put it out of saccharification range, temperature has no effect on efficiency unless you are doing extraordinarily short mashes, or you have something else wrong with your mash, like improper pH.
5. Extremely easy clean-up and storage
I don't quite see how this is different from a cooler, but whatever floats your boat.
I know there are a lot of guys who like to use coolers and, if that works for you, I think that's great. Sounds like you have a good system worked out.
I have and still occasionally use my cooler MLT, but more often I have been doing BIAB because I have found it speeds up certain parts of my brewing process. The trade-off is that doing BIAB in my stainless kettle DOES lose temperature a lot more easily than mashing in my cooler. However, as you mentioned, I can fire up the burner and recirculate to warm it up again.