An interesting idea actually. The real question is how well you would do vs a 3v2 + tower scenario. Honestly, towers do decrease in strength rapidly as the number of targets increase. Just to hypothesize:
Rook + Sedna + Erebus
Rook has the Wrath and towers. Sedna/Erebus both have monks, and Rook has towers and slam, and outlevels everyone due to getting 1 and a third lanes worth of xp for himself.
Push health flag of course to maximize your overbearance, and then punish straight to the portal.
Okay, so assuming that does that, what are the consequences? Well, are you able to hold the middle flag at all? If not you'll start losing on warscore. If you do, then someone has to be leaving the lane, meaning you can't constantly push with three. Perhaps this would be a good place to try to permalock the mid flag, Rook should be able to afford it.
Even then, is pushing early that good if you aren't going to be able to win via a portal capture? I mean, it is rather difficult to win pre catapults, so it seems that the goal should be to take down all three towers on the lane you are in, permalock middle, and then keep entire right lane, minus portal to get warscore up.
I think a random pub team may more often than not bunch up in the lane to defend against your triple threat, meaning the rook should out level them by quite a bit, push an early Power of the Tower advantage really high.
I'd be curious to at least try it out.
