Chopper
I did not say that the LoTG state the walk must be parallel to touchline - please do NOT put words into my mouth !
It is the accepted protocol and has been for decades, and is refereed / coached / assessed as such across the world.
If I were to see a referee walk diagonally at Group level I (and the other 11 who make up the "Dirty Dozen" on South West Group), then I would educate him/her (as would the defensive team's coach) in the formal de-brief afterwards. I would expect the same at Federation and Society levels, at the ELRA and by the most in-experienced club referee.
Referees do not usually make up their own complete interpretations but apply the Law framework and their management experience, plus follow training, coaching, advice, guidelines and best practice, passed on at Society, Federation, Group and Panels levels from the RFU and ultimately the IRB
A poll on rugbyrefs.com may be interesting to see what referees think - and I disagree with you on the outcome. Maybe we will find out.
Any such poll of an unrepresentative sample of referees should not be used to propose law amendments - a whole national and international system is already established for just that task.