Hi 8cp1,
I don’t have any personal experience with these types of beds but there are many people who have used component latex mattresses on adjustable beds which can be raised more than 45 degrees without any issues and with the stickiness of latex inside a tight fitting cover and considering that the mattress would only be raised for relatively short periods of time without anyone on the mattress I don’t think you will have any issues with the latex shifting (see post #2 here).
Phoenix