I have a little girl now that just switched from 2 nights per week to 5. Before she was only in care for a couple hours before bed. Now she's here earlier in the day and has longer to play. She has spent a lot of time being bounced between mom, grandma, dad, and me. Grandma has allowed her to watch a LOT of television. For months she's come into my house and pretty much demanded the tv. If I let her watch it, she's all smiles. If I have it on when she arrives, she's all smiles. If I don't have it on when she arrives she cries. If I tell her no to the tv and lets find something to do, she cries.
I have taken this child out to indoor playlands and she has a wonderful time. She smiles and laughs and plays the whole time. The minute we get back to my house, she starts to think about her mother and wants only to watch tv comfort herself.
I think your son and her are going through the same thing. She is also, nearly 3. They want things to be just like they have been in their favorite scenario. It's bothering them that they have to learn a new routine in a new place. Because I am a home caregiver, I can do the tv sometimes when her whining and spreading her tears and leaky nose all over her face gets to me. She wouldn't have the leaky nose if she would stop feeling sorry for herself. She doesn't want to "play" with me or anyone else unless it's some BIG, loud, crowded, playground. But her mother doesn't want her watching tv all day anymore than I do.
The fact that he is only there a couple days per week makes it harder. This is only the 3rd day this girl has been with me a full day. It's also the first time she's ever been here 3 days in a row.
I've been through this dozens of times. So long as he feels there is another scenerio that is possible, he will be unhappy. Try and talk with him about what you are seeing if he understands being videotaped. That's kind of cool if you think about it. You can tell him that you saw he was unhappy during lunch and ask what he was thinking about. If he realizes that this is his only option for that time of day and that you want him to make the best of it, he'll get used to it. But 2 days per week will make it much harder and longer.