Pat,
They do have an influence if you think the line to the hole is to go directly to the flag. Even so, they're not out there that far. They had an effect 60 years ago but less so today, even with average Joe's or less than average Joe's. They may be fun to hurdle for a few guys that bunt it, and hit mid-irons into the green. Still, good, bad or mediocre, there is but one line. Be Left Lad. For anyone with half an interest of scoring well on the hole, it being of the length manageable by virtually all classes of male golfers, the "tactical influence" of those bunkers lasts up to the precise moment they understand the line is left. There is little mystery to the hole. A couple rounds will have the most strategically challenged golfer thinking, hey, that green is really thin and the best place is left.
Now the aesthetics, nobody will argue with their beauty.
Back to the original question, I'm simply asking, would the hole be more interesting, without them?