See, I think it depends on the kids. Mine wanted to spend time with me until I left as she knew it would be awhile before she saw me again. 3 of the 6 had 'rents there and wanted to spend some final time with them. 5 of the 6 roomies bonded and are like sisters!! The 6th one was a bit different and she ended up self-terming after about 9 or 10 weeks...just didn't seem to be her thing. When I visited, the girls wanted to spend time with me. Mind you, I don't in any way try to act like I am one of the girls, but I also was only "motherly" from the standpoint of giving out hugs (if they wanted them...and they did!) and encouragement (no advice!). I also listened a lot. Sometimes it's nice to be able to vent...
Almost all arrivals are Mondays, except Memorial and Labor day. Those arrive on Tues. Arrival day can be busy depending on if the get assigned to go to casting that day. If you arrive on Monday, it's check inand move in, and possibly casting. There is a mandatory housing mtg on Tues. And those who didn't get assigned to go to casting on Monday will go on Tuesday. Then Traditions start on Thursday and are usually wrapped up by Saturday early afternoon. Those who go to Traditions sooner start their work locations sooner. My DD was in one of the first Traditions classes and was starting her work location on Friday or Saturday when others were still completing Traditions. There is still a fair amount of free time the first week though. We had fun getting her settled in, shopping, eating out and going into the parks.
They can't get into the parks until after they have completed Traditions....that is when they become an official Disney CM and receive their ID that gets them into the parks. If you have time and can stay, I would but it depends totally on everyone's own schedule.