I was more referring to what Tama Hiroka said about the teams' origins in
her retro review of Diamond & Pearl. Apparently around the time of Diamond & Pearl there was an economic situation going on where Japan's population was about to/has exceeded their food production but they had no more land to farm. The Japanese government decided to drain the last lake they hadn't already drained, however they met strong opposition from environmentalists and people who made a living on the lake. In the end the government won out and the lake was drained and the effects of that is still being felt today in Japan (and not in a good way).
So with that in mind it would sound like Team Magma would have control over the media while Aqua was the scrappy rebellious group. I'd imagine Aqua's supporters would be the grassroots community who felt they've been ignored or oppressed by the government.
If I was to redo their teams (going to do a full team of 6):
Archie: Sharpedo, Walrein, Ludicolo, Starmie, Wailord, Kingdra
Maxie: Camerupt, Houndoom, Shiftry, Claydol, Relicanth, Flygon
Feels this makes the most sense. Yeah, Archie is all Water-type, but it's a vast ocean of Water-type diversity (Ludicolo is a stretch but I did it for dichotomy with Maxie's Shiftry). Meanwhile Maxie's Pokemon has a wider Type coverage as life on land had adapted in many different ways and land itself comes in different forms.