Q:

'not only reflected ..., but also the fact that ...'

I found this sentence:

Margaret Thatcher’s legendary nickname Laura Norder not only reflected her political preferences, but also the fact that, like most of her compatriots, she pronounces law and order with an intrusive /r/ between law and and. 

(From: Perception of intrusive /r/ in English by native, cross-language
and cross-dialect listeners.  Annelie Tuinman, Holger Mitterer, Anne Cutler.) 
Almost instantly, the use of not only and but also of the sentence jumped out right at me.  My first instinct was like: this is incorrect, it should be "reflected not only ..., but also the fact that, ...". ( Another possibility I think possible is: "Not only did Margaret Thatcher's legendary nickname ..., but also the fact that, ...".) 
Then again, maybe I think too much, and it's not really incorrect, just a matter of style. 
What is the right way to think of the sentence? 

A:

When written as per your example (with extraneous verbiage stripped):

[It] not only reflected her political preferences, but also the fact that [...] she pronounces law and order [that way]. 

The parallel construction isn't between "not only" and "but also", but between not only reflected and but also [reflected]. 
It is as if there's a second implicit copy of the verb there, not unlike how in English we can say:

She gave him the book, her the scroll, and the rest of them photocopies.   

So:

[It] not only reflected her political preferences, but also [reflected] the fact that [...] she pronounces law and order [that way].