My life would suck without you
About the sceen time....well to be honest I loved the trio back during the early eps (kanto mainly) but I just got tired of them. Not seeing them always is alright for me, but they're always welcome to appear in future eps.
Welcome to Team Rocket Altomare, apparently the images keep breaking and we can't fix it, I suppose we could do a text list of them as well. I'm really excited, the Team Rocket arc of the anime is starting next episode!