It has been this way for a few years. Here's a quote from the web site:
May my family come to the MTC?
Congratulations on your mission call. Please be aware that as of June, 2009, new missionary day family orientation has been discontinued. New missionaries are now dropped off at the MTC to begin their formal missionary training program.
On your scheduled arrival date several hundred new missionaries will be arriving at the MTC within a very short period of time. Because of the large numbers, only one vehicle per missionary family will be able to enter the MTC grounds to drop you off. This vehicle should contain yourself, your luggage and a few members of your immediate family. Other family members and friends will not be able to drive in, nor walk on to the MTC campus.
As such, it would be most helpful to this intake process if you would have your farewell activities with family and friends prior to your arrival at the MTC. Because the drop off time is very short, you will only have a few brief moments for a quick farewell and there will be no opportunity for picture taking. Thank you for your cooperation in this process.
We are very excited about your future arrival at the Provo Missionary Training Center. We hope that this information will be helpful as you make your final arrival preparations.
When it first started, they were pretty strict about it (from what I've heard). You hopped out and were expected to have all your bags out of the car and the parental units on their way down the road in less than a minute. I don't think people were really pleased with all the rush-rush, hit the road, Jack, stuff.
I think they've chilled out on that significantly, though. I dropped off a family member a few months ago, there was no feeling of being rushed. But yeah. There were people dropping off missionaries at the curb in front of the classroom buildings all along the front of the MTC. Then you just drove out the back. No going in. No video. I didn't really miss the video, FWIW. We took some pictures up by the temple beforehand and strolled around and talked. It was a much nicer experience.