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Tom, thanks for the comment and the interesting questions and insights.
Also, thank you again for providing detailed analysis of the problem solutions.  
It is much appreciated.  

In regard to how well solving problems will translate into success on the
board; I think that a person that can solve the problems (or at least
understand the solutions when reading over them) will be much better
prepared for similar themes when they occurr on the board.  For one thing,
they'll have seen some key concepts... not have to re-invent the wheel, so
to speak.

You also point out that 'the starting position on the FIDE board has the
familiar mirror symmetry, while the Dimension X board has rotational
symmetry. Thus the full starting position is asymmetric.'  You ask, 'Is
there a reason for this?'

Answer: 
I kept the inital mental picture of the DX setup (a player's Spider at
the first dark square to his right, etc.)  Although I pictured this setup,
I did think that some might think it to be a bit awkward; so I considered
various factors: initial DX setup (asymmetrical), mobility, square
blocking, centralization, Kingside and Queenside web balance, etc.  And I
could find nothing wrong with the DX setup.  Nothing seemed to favor one
side over the other.  So, I went with that initial mental picture.

P.S. In my current game with Jeremy Good, black (J.G) thus far has a
positional advantage in that his Dimension X pieces have found their way
to my King's doorstep in relatively short time (but at least they are
still in Dimension X [last time I looked].  How did Black get an
advantage?  I've already written too much for this comment... so perhaps
that will be discussed another time. 

P.S.S.  I might make a few more problems, that is, if the problem solvers
would like to have more DX problems.