This isn’t something I’ve spent much time thinking about, but Religion News Service has an interesting posting about why Mormons don’t use the Lord’s Prayer.
I remember reciting the Lord’s Prayer in elementary school (before it was decided that you couldn’t do that anymore). As a young kid, I didn’t think at all about what the words meant. I rarely come across the Lord’s prayer now as an adult. Since I’ve been a Mormon my entire life, I don’t really see how reciting it is helpful to people. The comparison is made to some of our ordinances having set wording, but the difference is just that… that it is an ordinance prayer, not just a “regular” prayer.
To me it is just like a lot of things with religion. If you feel the Spirit and feel closer to God, then go for it. If it doesn’t help you, then try something else.