The Delphix engine pushes out a toolkit to target machines. The jdk version that Delphix pushes varies based upon certain parameters on the destination system.
In the instance that you describe, with the two machines with different jdk versions, what are their operating system versions? Just to clarify the question, are there two engines, or are there two targets with the same engine?
I have been discussing this question with others here, and we would also like to know if there is a failure, or other difficulty that leads you to ask about jdk versions? The jdks in the Delphix toolkits are for the exclusive use of Delphix. You should not use these jdks for anything besides Delphix operations.
It looks like the destinations really are different, and that the Delphix Engines pushed out different JREs to those environments. I can see that one of the engines is on SunOS 5.10, and the other is on SunOS 5.11