What is the point of Liandrys

Ok since we're teaching:

You are wrong about what you said about Teemo shrooms because of the following:

• Any teemo that isn't playing teemo just to troll will use shrooms in the middle of combat to help him kite. Teemo's shrooms are not simply an annoyance, they're a combat tool when employed by anyone that can play him well.
• It's never guaranteed if you just throw it down randomly. If you're being chased or there's a massive team fight, that bastard is going to go off.
• Liandry's outdamage's Ludens. The math is below somewhere. In addition it provides 300 health.
• The Liandry's proc is a dot over 3 seconds. That proc is reapplied by things that are also dots. so a 3 second dot that applies liandrys's will reapply the passive for a total of 5 seconds of liandrys proc at 2% max health a piece for 10% max health. If the ability also applies a slow for the first 3 seconds (which i believe is the duration of the slow on teemo's shroom) those are doubled so the first 3 Liandrys ticks are 4% current health each = 12% current health plus the last 2 ticks at 2% current health for a total of 16% current health on top of its own damage which is considerable.

More teaching about Amumu, Zac, Sej: People who can spam abilities or have a consistent damage "aura" make powerful use of liandrys because again, they can reset the passive dot repeatedly.

• On Amumu with 5 levels in his w (despair) and a Liandry's: 5 seconds in his despair aura deal 4% max health damage + 24 damage per second. Thats 20% max health +120. Then you add in the Liandrys dot which gets reapplied through out the duration for a total of 7 seconds of liandrys dot at 2% current health each for a total of 14% current health. If amumu built a frozen heart, double that to 24% current health from the liandrys passive alone:
• zac with max cdr can use his w every 3 seconds which means everytime the Liandry's passive is finished, he can reapply it, essentially keeping it constantly running throughout prolonged combat. And since he is a tank, combat should be prolonged. This is especially true when he is disrupting combat with his ultimate (which by the way also impairs movement and applies the double liandry's dot. Throw in the fact that zac has an 3 different movement impairments in his kit, he makes excellent use of the Liandry's passive.
  *Sej is the CC queen and can constantly apply a slow from long distances with her e. Her q, e, and r are all movement impairing abilities. Her w is a 4 second damage aura after the initial attack that can be constantly running at max level with decent cdr.
• All 3 of these champions can keep the liandrys passive up indefinitely consistently dealing the double damage for movement impairment. If you're waiting to build Liandry's until your last item, of course it will feel weak. Your enemies are close to or at max item and at max items which is the point in the game where tanks have too much MR for you to deal damage, ADCs will melt you before you can apply more stacks, and generally speaking, tanks become significantly less relevant in team fights due to people being able to melt them. You think Liandrys is bad because you don't know when to build it and how it works

Aurelion Sol: The fact that sol has an ability that is free that can constantly apply liandrys makes it a no brainer on him. Even if Sol is oom and can't expand his stars, he can still be applying %health damage AT 4% PER SECOND because, as you so rightly pointed out, he probably built rylais first. Imagine if sunfire cape did 4% current health damage on top of its base damage. Thats what you give Sol with a Liandrys. If you don't think that is broken, you are dense.

Finally, my favorite little troll Heimerdinger: If you are building zzrot, banner Heimer, you're not building big damage. But you are building defense. You'll have a rylais to apply movement impairment. So the longer you live, the more Liandrys double stacks you apply while you kite your enemy through your turrets and your banner minions and zzrot take their turret. NOW even if you're not doing the zzrot/banner thing, you still have a Rylai's. You can still kite and you are still constantly applying liandrys double stacks from your turrets.

Oh and just a basic difference between the two items: You can constantly apply the Liandry's passive without waiting to build stacks or an internal cooldown. This is not true for Ludens which you think is the better buy apparently. Its not. Liandry's is flat out superior to luden's on most champions. The only time I would argue against this is if you can make very good use of the movement speed supplied by Ludens.

Hows that for learning? Get schooled, son.