It's actually weirder that it kept its anime effect throughout the anime. Most cards eventually adopted their TCG/OCG effects during the series' run, such as Future Fusion, Thunder Giant, Grand Mole and Level Modulation.
That is a pretty terrible assumption. Many cards got weaker in later anime appearances. Power Bond and Aqua Dolphin, for example.
I'd assume they left it as-is because it was convenient for writing purposes, as it gave him an easy way to get more cards. It's worth pointing out that more than once, he got the draw from it when it was in fact his only card in both anyway.
His hand would be empty and then he would draw bubbleman, which led him to draw pot of greed as one of the cards drawn from using bubbleman's effect. I feel like I saw this happen more than once.