For reference, the item is just over 110% gold efficient at max stacks. Obviously the OP doesn't want to say that. Turns out not accounting for 5 ad (175 gold) on a cheap item is really meaningful. Who would have thought
I said 5 AD because everyone will compare it to Seekers which is more efficient upon purchase and gives a net +15 AP, +15 armor upon fully stacking.
Armguard is also not "nearly 160% gold efficient" unless you're in the habit of rounding to the nearest 40%, which no reasonable analyst would. It's ~151%. If you had any goals other than delivering the most biased drivel possible, you'd probably say something like 150% gold efficient, but YOLO, I guess.
I misread it as 157% when I made the post. You can assume all you want and call me biased but it was a honest mistake.
Jaurim's also stacks faster. 20 minions vs. 30. It's not a massive difference but it's there.
If it means giving more gold worth of stats, then I'd prefer Jaurim's Fist take longer to stack
It also builds into more items: Mallet, Sterak's, and Titanic. It doesn't really matter which item is better since you're just going to turn it into one of those above and I don't see anyone saying that Sterak's is the worst item in the game. So IDK, feels like a weird point to leave out.
Incredibly weird thing to say when people sit on Seekers. I wonder why no one does the same for Jaurim's Fist?
The final point is that Health is a far, far better stat than Armor for the majority of the game. I ran math on early defensive itemization in the early game and found that even against the targeted damage type Health beats Armor per-gold in the first 10 or so levels in the game. Obviously this goes without mentioning that Jaurim's can protect from things like a Gragas gank when Armguard can't. See, Armor and MR are priced at a point that makes sense in near-endgame scenarios. The stat breaks even with Health fairly early on, but still only works against ~50% of incoming damage (assuming that true damage and % hp damage come in roughly equal amounts).
Only at very very early levels. Not sure where you got your numbers. Funny how you say my math is bad while yours is incredibly lazy and the argument you're trying to make isn't valid either.
Level 10 Aatrox w/ Jaurim's Fist - We'll assume he has around 1350 hp (Base health + Dorans item), in which case 300 health would give him 22.22% extra durability against all types of damage.
Level 10 Orianna w/ 1300 Health and 46 Armor (Dorans health + 6 armor from Runes) - Seekers will block an extra 585 physical damage. Now unless you're going to tell me that the enemy Zed, Talon, etc. is dealing nearly half their damage in true damage it's pretty obvious which is better here.
Now, your argument falls even further apart when you account for even more health that any champion will have access to (potions, health regen, etc).