With good coffee, (preferably freshly ground, but you do what you have to) and a bit of technique, yeah, they can make quite good coffee. It's stronger than pour over or french press, but still probably only a third to a half as strong as espresso.
I've never had an aeropress so it's hard for me to compare quality etc., but when I've had coffee with friends who use them, the aeropress does seem bit more cumbersome and messy than the mokka pot.
With aeropress, the brewing is more manual (you control how hot is the water, how long you keep it brewing, etc), which has its pros and cons. So you can make really good coffee, or really bad coffee.
But one thing where aeropress shines is cleaning. I'd use my moka pot more often, purely for consistency without effort, if it was as easy to clean as aeropress.
For me, aeropress is much less cumbersome than mokka pot and much easier to clean. Both make good coffee, but since I've found one specific coffee brand that I like (one of the cheaper ones), no other coffee tastes as good for me, but I'll drink anything that's available.
However for people who already like aeropress, they are kind of popular to being for camping/hiking. But sharing coffee with more than one person takes time.
I've never had an aeropress so it's hard for me to compare quality etc., but when I've had coffee with friends who use them, the aeropress does seem bit more cumbersome and messy than the mokka pot.