[A slight hijack: so in analog mode on games with digital controls, it will actuate right away?
Not sure whether this will answer your question, but here are some things I've observed.
To get good results you
must go into UltraMap and configure it to match the restrictor on your stick. The sticks come with no restrictor, and you might naturally assume that UltraMap defaults to no restrictor. You would be wrong.
There is a checkbox in UltraMap called "keep analog stick". When this is checked, then the custom maps don't seem to work. Then I figured out, this setting would allow the stick to send analog information over USB (which is all I have connected) and simultaneously send digital switch output over the optional encoder harness (which I don't have).
If you are running it in analog mode on games with digital controls, then MAME is responsible for translating the analog values into digital ones. However, you can't customize that translation, and it may not always be correct, or optimum, for every game.
When using the default 8-way map, the stick is
highly sensitive. By that I mean, the stick registers a move when you push it just a very short way off-center. I also noticed that I seemed to hit diagonals too easily. I created a custom map with a larger dead space in the center, and smaller diagonal zones. It worked well for Crazy Climber. Your mileage may vary.
I had trouble adapting to the U360 at first, and I blamed the soft spring and long throw. Then I fixed the restrictor setting in UltraMap and started using the custom maps, and it became much, much better. It's nice to know the stiffer springs and the restrictors are available as options, but I'm not rushing to get them just yet.
I think the sticks deserve all the praise they've been getting, but the hardware and software are so customizable, they aren't plug-and-play. It takes time to learn how everything works and get it all configured the way you want.