Hi g1981c,
While this is not strictly what you are talking about … you can read some of the potential benefits of a thicker mattress (not the sleeping height of a sleeping system) in post #14 here.
In terms of the actual sleeping height of your bed (the number of inches to the top surface of your mattress) … it would be a matter of personal preference mostly based on how easy it is to get on and off the mattress for a particular person or in some cases sitting comfort on the side of the mattress and on how well it matched the bedframe you are using (how high up the headboard or footboard it came which would be an appearance issue).
There is an article here which discusses this.
Phoenix
A