Ehrm, I'm pretty sure the OP's point was that the prayer was unusual and nauseating even by JW standards. That's why the word "weird" is in the title of his post.
As far as the 10-minute-plus prayer at conventions, I'm well acquainted with that. And they always seem to save the most boring drone for the very end. You're tired and hungry and just want to escape and go grab dinner and go home, and all that's standing in your way is some moron who thinks that "prayer = another unofficial symposium".
They're always faking you out, too.
"...And now, O Jehovah, as we go our separate ways, to our separate homes..."
*pause for dramatic effect and you're thinking, Yes! Yes, finally, he's winding down and wrapping it up!!!!*
And then out of nowhere comes the second (or third) wind and he sallies forth with renewed energy into an ecstatic crescendo, almost like he expects applause at the end or something:
"...we ask you, Jehovah our God. Merciful Jehovah our Sovereign Lord. Jehovah. Just in case you weren't sure that I was talking about you, Jehovah. You know, the first 50 times I said your name (which is Jehovah). We ask you, Jehovah, to protect us from Satan, the Slanderer, the Evil One, who would lead us all into destruction..."
And then you realize that he's gone off on the Satan bender and you'll be there for quite a while longer before he gets to "in the name of your son, Jesus Christ..." and you can finally breathe the sigh of relief and hoist your bookbag and coil your muscles to bolt right as he says "Amen".
Come on, tell me that's not the way it goes. Do I win a cookie?