Bowls Tactics:When You are being Outplayed as Lead or in Singles

According to a tactical suggestion on one on-line lawn bowling site

 https://assets.sportstg.com/assets/console/document/documents/20160724053820Tactics_in_Lawn_Bowls.pdf

 “When being outplayed, try and change your opponent from the hand which is playing well for him. This can be done by changing to your opponent’s hand, dropping short, but only slightly in his draw.” This site, however, also suggests, “When down never be wide.”

 I assume that when you are being outplayed and see a need to act then  you are most often down in the end you are playing; therefore, applying the above second recommendation  you shouldn’t be wide. But if you hope to end up in your opponent’s draw and you have switched to the same hand as him, you must necessarily tend to be a bit wide (to get into that draw arc). Isn’t there a contradiction here?

It seems more logical to me that if you have been bowling on the opposite hand to an opponent who is ‘consistently outplaying you’ as this suggestion specifies, the advice should be to stay on the hand you have been bowling and start erring on the side of being narrower, so that, if you are short, your bowl has the possibility of ending up in your adversary’s draw.

Perhaps I am missing something here. Anyway, the above link provides lots of other good teachings.