I havent heard of that one. Does it have intermittent wipers? Check to see if there is a black plastic box with an aluminium heatsink slung underneath the steering column. Its electronic, so it can do wacky things when it feels like it.
I have the same problem with my truck. The thing is, it won't just do it when I start it up, it will randomly turn on if I am driving a good distance (over 30min or so). I can time it perfectly when they will come on so I just hit the switch once and they turn off. I changed the motor for them and everything, except I havent jumped on that firewall yet.
If your truck has the intermittent wipers, you can troubleshoot the module by unplugging it and connecting the harness together. Your wipers will just have MIST LOW HIGH. IMO this will tell you if your box is to blame. My gut says its electronics related since it happens every time and then stops.