I've golfed a five under par (and could do much better with more practice, I think). It's possible, like you described, to work around the limitations of the controller, but it doesn't make for a very satisfying putting game. Having to go to strange lengths to make the putts work reasonably well merely illustrates exactly what I'm talking about.
Nintendo has made a huge issue of appealing to non-gamers and expanding the market with grandparents and women, etc.. When you hand a non-gamer the remote for a game of golf, they end up super frustrated on the green, not understanding why the character on the screen is not doing what they are doing. I can't tell you how many times I've heard someone, after driving reasonably well to the green say, "Why isn't he hitting it," just before they wack the thing right off the green again, especially if they were only a foot or so away from the hole. You can explain to them, "Oh, yeah, there's this really nonintuitive way that you can get fairly consistent results on the green. First, forget everything you know about golf. Next, wind up like you're going to chip or drive, then very slowly bring the controller down in an arc and follow through the ball.
It works, but it's bad design, and if its the best that can be done because of controller limitations, it's a REALLY serious problem. If it's just crappy programming, that's another thing altogether, but that's REALLY uncharacteristic of Nintendo's software development studios.