In many circumstances it is not a good thing to be comped to numerous elite levels. It could lead to losing the ability to follow through and maintain the level in all of them. I think it is rarely an advantage to be comped in several programs unless (a) you are changing your primary carrier to that airline, or (b) you plan to maintain your elite level in a primary airline and in addition do frequent flights on the comped airline.

In short, being "comped" to numerous elite levels is not a helpful goal unless you are planning to use them.