I was thinking that adopting a safe, defensive and gammon-save style would be a good idea against a weaker player because it would slightly reduce the amount of luck in the game.
Well that would mean that you would often be making a bad play, because the right play is often attacking, risky and gammon-minded and playing as you suggest would actually make the game easier for your opponent to play. You want to involve him in games that are difficult, where you can outplay him. Besides, there is no evidence that you would actually be reducing the amount of luck by adopting your strategy. You might be reducing the size of a possible swing on any given number, but that isn't the same thing at all and in any event, you would certainly be giving away equity by doing so.
There is one further reason for not adopting a play safe style. It would make the game hideously boring! Look for the best play, stop trying to think in terms of styles!