Mathematical Attempt to Remove Impact of Alphabet Differences

[MichelleL11]

I note that Jaskiewicz attempted to soften the errors brought about by use of differing alphabets in his paper linked below:

You are not allowed to view links. Register or Login to view.

Specifically, he altered this equation for letter frequency comparison:

   

to this (with accompanying text included to explain):

   

What are the thoughts about this kind of change?  Is it a valid way to overcome the use of varied alphabets?  Would an alteration such as this help the work that Darren is doing (see You are not allowed to view links. Register or Login to view.)?

I understand that letter frequency analysis is likely quite different from the hyper vector work in the other thread, but the underlying problem seems similar to me.   I wondered if the parallel issue might have a parallel solution (and also wondered what other more mathematically minded board members might think of this approach).

I apologize in advance if this is a naive question, but I am working on my ability to evaluate these kinds of publications more critically and appreciate any input others would be willing to share.