The reason I specified that Knight moves could be used to make the
information unequal is that I thought it added spice.
Suppose 1. e4 e5 2. Nh3; either you have made a touring move or you are
playing a weak move to fool your opponent. Probably it was a touring move,
right?
But next game, having established the pattern, you play the non-touring 2.
Nf3 -- and now your opponent really does not know!
It seemed to me that the possibility of this sort of head game added to
the interest of Touring Chess.
I appreciate also your liking for equal information, now that you explain
it. There could be variants of Touring Chess?