^That happened to me today, however my train got dispatched the same time as the other one. I got excited because I thought the controls attendants accidentally sent the trains together, so I thought we were going to duel. However, the lift is now programmed opposite of what it has been for years. Ice was slightly ahead of us (like 3 rows ahead), and we actually slowed to the ka clink, ka clink, and the other train sped up. We stayed at the slow crawl until I saw the other train drop off the lift, then our train sped up to it's normal speed.
EDIT: Forgot to mention that I rode again and this time we were ahead of the other train. We did the same thing, they slowed to a crawl, and we sped up to pass them. I just thought that controls had to wait to stagger the trains, but I guess now the computer knows not to send them together, so they can send trains whenever they're ready now.