Yes they are interchangeable, but they all allow for a trickle of water to flow when shutoff... If you are a boondocker, this can be a problem.
Since water flows thru the course of least resistance, it means that after you get the hot/cold mix just right, and then use a shutoff that reduces the flow to a trickle.... That when turning the shut off back on, you will get a shot of usually cold water, or in some cases hot. This is due to the fact that the trickle allows cold water (which usually has lower plumbing resistance) to replace the mixed warm water that was in the lines when it was shutoff. As a boondocker this means wasted water as you let it run to get the temp right again.
There is a simple cheap solution that is 100% effective. Go to a hardware store and get a 1/2" plastic ball cock valve, and the fittings to screw it in between the hose and shower head.
This will shut the water flow off 100% and when you turn it back on, it will be very close to the temp it was when you turned it off.THere will be some cooling as the water sits still in the lines, but it will be MUCH better than using a trickle type shut off. Cost will be about 5 bucks.