devtrackers.gg
As others have said, in a less-coordinated environment the "safe-to-safe" push (your Home cap to their Home cap) can work out, but it requires two things:
Immediate aggression from every player on your team. Tempo is important to avoid risk of cross-fire from the contested-cap flank.
This is by no means guaranteed as many players learn to kite/trade instead of hard-and-fast pushing.
Forward-heavy positions from the enemy team. If they are turned out to kite away, they can bleed time for their contested-cap allies to take positions and help.
The A-to-B push has to happen so quickly and so violently that all of the enemy forces at B are annihilated before the C cap forces can set up to crossfire. If the B-forces kite out and delay, pushing into B could be extremely unpleasant.
Further, if the push to B is sufficiently stalled, forces from C can instead wrap down to backcap A while looking for deeper flanking action.
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It's not to say it can't happen, but it's really a very risky play to ask of a team that's not in comms and executing on pre-planned decisions.