What are the rules for DSTIME if a property type is a class?

I know per documentation (pasted below) to set the DSTIME parameters for the base class of a cube.  If that base class has a property that is another class, do I have to add the DSTIME parameters to that secondary class? 

Documentation says the following in a section titled "Enabling Cube Synchronization:"

Before you can synchronize a cube, you must enable the cube synchronization feature for that cube. To do so:

1.   Make sure that cube synchronization is possible in your scenario. See “When Cube Synchronization Is Possible,” earlier in this chapter.

2.   Add the DSTIME parameter to the base class used by that cube...

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Answers

If that base class has a property that is another class, do I have to add the DSTIME parameters to that secondary class? 

No. DSTIME needs to be defined only for a base class of a cube (fact table class). 

It works like this:

  1. During the compilation if DSTIME parameter is present %Save/%Delete methods would write the fact class, id and action into ^OBJ.DSTIME global
  2. Cube synchronization job would iterate over this global but only over fact class and process them accordingly
  3. %PurgeDSTIME from %DeepSee.Utils class would clear all processed records in ^OBJ.DSTIME global and all records that are not from fact classes

You don't need to set DSTIME parameter in the secondary class.

However, OBJ.DSTIME and SynchronizeCube does not see changes in objects of secondary class.

That is the case mentioned as

The changed record is not in the extent of the base class used by the cube.

in documentation (http://docs.intersystems.com/latest/csp/docbook/DocBook.UI.Page.cls?KEY=...)

For example, let's say that you have cube Person based on Sample.Person class.

And that class Sample.Person has property Job that references persistent class Sample.Company.

If you just modify object of Sample.Company as follows:

set p = ##class(Sample.Company).%OpenId(100)
set p.Name = "New Company Name"
write p.%Save()

Then this change will not be seen by SynchronizeCube and you'll need to update cube manually:
http://docs.intersystems.com/latest/csp/docbook/DocBook.UI.Page.cls?KEY=...

Adding DSTIME parameter to the Sample.Company does not help as original cube Person is not based on this class.