Melissa Sue Anderson on "The Brady Bunch" and "Little House on the Prairie" Opening

I am currently watching "Little House on the Prairie" and "The Brady Bunch" and couldn't help noticing in the episode where Melissa Sue Anderson appears as Millicent, how much her running in slow motion towards Bobby Brady resembles her running down the hill in the opening credits of "Little House." Could her "Brady Bunch" appearance have inspired the iconic "Little House" opening?