Way back when you nerfed lichbane's ap scaling from 75% to 50% it was sort of a quick fix that was concerned with nerfing its ap scaling however it didn't really take into account / overlooked how it might impact its early damage on route to buying that deathcap.
I believe you inadvertently gutted lichbane as a standalone item. not just as stand alone, even for those who liked to build it early for the mana. its best to just get sheen at the moment finish your death cap and then complete lichbane. Even at 200 ap its lackluster.
lich bane was originally nerfed because of its late game power potential, hence why it was the ap ratio that was targeted. sure you raised its ad scaling but not enough imo.
Lets examine where lich bane + deathcap differs from Triforce + IE.
imagine if triforce's spellblade scaled with Infinity Edge's amplification. thats essentially what death cap does with lichbane.
This is why it needs a dynamic equation.
Lets look at all three versions of lichbane
with say 100 (at level 18) base damage and 200 ap:
Very old Season 3:
150 ap >>> (75% ap)
+50 ad >>> (.50% base ad ratio)
total= 200 damage
Current:
100 ap >>> (50% ap)
+75 ad >>> (.50% base ad ratio)
total= 175 damage
Dynamic LichBane:
155 (flat magic damage at level 18)
+50 >>> (25% ap)
total = 205 damage
this is is right in line with the older version of lich bane at ap levels that didn't pose a problem.
on the old lich bane its initial damage was fine
its only when you had when you would reach 600-700+ ap that it go out of hand.
700 * .75 = 525!
so you'd do 575 dmg
Current
With 700 ap you now do
350+75 = 425
**Dynamic: **
same thing 425 if you go with base ad ratio
actually did some adjustment for both equations to equal one another with a mean/average base ad of all champs at level 18.
55% times 155 would be better to reflect (base ad * 75%)
or (155) * 55% = 85.25
so youd do
a bit more at 435.25 (keep in mind the above example used a low base ad of 100 at level 18) still a pretty fair distance from the frighteningly overpowered 575 of old.
the 435.25 is closer to the average base ad.
say you had 115 ad at lvl 18 like morgana does. you'd get 115 (75%) = 86.25