Do cats get more rambunctious as they get older?

My fiancee and I moved in together. In the move, she brought her lovely two cats: Max (eight) and Batman (four). When Max moved in, he was calm and just relaxed all the time. Batman was the rambunctious one that always caused mayhem.

Nearly a year later, the two have switched personalities. Max has begun to terrorize Batman, he scratches the sofa and he even bit my fiancee for the first time ever. Batman cuddles, tries to love Max and is quiet all day long.

Question: do cats become chaotic with age?