From the UK act, and to cut pages of definitions short, a writer or composer has two moral rights.
1. To be recognised as the author of the work.
2. To prevent any derogatory use of his or her work.

This is the definition of derogatory:-

"the treatment of a work is derogatory if it amounts to distortion or mutilation of the work or is otherwise prejudicial to the honour or reputation of the author or director."

Whether anyone would actually go to law about the order of verses is doubtful- would it amount to distortion or mutilation?
It would cost a lot of money to have this decided in court.
I have only ever heard of this provision used to forbid the use of songs for advertising products which a writer would not want to be associated with, or for use in political campaigns to which the writer is opposed- thus damaging his or her reputation.
Cheers
Dave