Reference:
they did actually do it in the order the bookies had them in, so it may well be that'no particular order' doesn't actually mean that.
The 'NO PARTICULAR ORDER' is for the HMs benefit really, but as they don't listen it's a waste of time doing that.
But then again it can skew their perception of how they are viewed by the GBP, as they are probably off thinking that it was a close run thing between Ben and Govan, whereas the reality is that the rest might as well have not been there. So even if Ben DID get the second most number of votes it's of no consequence since there were (relatively speaking) so few votes left to go around the other three.