Revealing mistake: During the scene where Mr. Dittmeyer is standing in front of the 9 TVs, you can see that the middle 3 people (Mike, Carol and Alice) are all taken from the same camera/angle as they all have the same background. As such that would then mean they were recordings being played back vs. being live shots as beginning of the musical number portrays.
Revealing mistake: When the family heads to Sears and are first playing with the cameras, Jan's show that her movements in her camera are slightly different and not the lag factor of the image being displayed on the TV.
Answer: I have listened several times to both versions of "Sunshine Day" on YouTube. To my ear, they are both the same speed. However, the movie version does have some significant cuts, and some added incidental bridge music, such as when the crowd of women rushes to the Tori Spelling book signing, or when the kids are talking to Alice in the massage chair. If the movie version is slower, it is not significantly so. And perhaps it was changed to fit the blocked movement they wanted, and to accommodate the timing of the scene that they were going for. I doubt legality had anything to do with it, as the soundtrack notes states the song was used by permission. But, again, I don't think the tempo has been significantly altered.
Michael Albert
The original series was faster. I just listened to the start of both versions a few times in a row and although they are both in the same exact key (key of A), the show is definitely faster tempo and the movie slower. Even the singer in the first line of the song (one of the girls) sounds higher pitched in the show, and slower and lower pitched in the movie.