LOL, are you serious?
Based on decades of living here, a decent knowledge of Canberra's history, and data that's comparable and isn't corrupted by including samples from the surrounding regions of NSW like you insist on doing even if you don't realise it.
Too bad you failed to find it. . .
There're 12 AR clubs and 11 RL clubs in Canberra (it could be argued that 4 of those RL clubs are only 1 in fact, but I'm being generous).
There're 202 AR teams and 205 RL teams. That's a recent phenomena that's only changed in the last year. Before this year AR had slightly more teams than RL, but that number pretty regularly yo-yos and will continue to do so going forward.
Playing numbers for Canberra/ACT alone aren't reported by either sport, and I couldn't be bothered to go through and counting up the players in each team in each age group. We would have had to assume that they all had full squads, so the number would have been inaccurate anyway. However there are 22 players in an average AR team and only 17 in a RL team, and AR junior sides have more players than RL also. So yeah, we don't need the exact number, it's a fait accompli...
BTW, those numbers don't include school comps. I can't find any reliable data on school comp numbers for teams just from Canberra/ACT for either sport, however AR is popular in the private school system in Canberra where RL has no presence whatsoever, so it's more than safe to assume that there're more school AR teams than RL and that's definitely my anecdotal experience as well.
The tl;dr is that the participation numbers show pretty much exactly what I said they would.
Aside from not knowing that RL had 3 more teams than AR for the first time in a while this year (you can thank the recent boom in women's RL for that), there're more AR clubs and players in Canberra, and both sports are really close in size. There's almost nothing in it, just like I said there'd be.