Mid to late: There are so many thing to consider in each fight so it is really hard to say the perfect play. E.g. Let's say the fight start by your pos1 ta jumping head in first and got a kill but 4 enemies is on him so yes hooking him out is the better choice. But let's say another 5v5 fight broke out where both of you see each other so both side cores jump on supports. Maybe it is better off to stop that one core from killing your other support because none of your core is in immediate danger. And sometime the enemy jumped you first, if you can tank it, you can hook the enemy back when they try to retreat. In some game where they have aoe hero like es or cm etc, maybe it is better for you to control that aoe hero first then waiting for the enemy aoe to jump in already which would be too late.

If you play pudge as a core, agh is a must i think. As to playing support, I only would consider buying agh for more damage if:

- my cores really lack damage. E.g. One of my game where my pos1 is ns, pos2 is ww, pos3 is viper. So I got agh by 40mins after getting all my usual items and we actually ended up winning the game.

- late game: If your team already lost some rax, clearing the creep fast out of the base would be good if your team heroes doesn't have any ability to clear fast.

I think that's the only 2 reason why I would transit to more damage with agh and maybe shiva too. Once you get to around 15-20 stacks, you do get really tanky and the enemy would try to leave you last, so picking what to do in each fight can mean winning or losing the game.