Situational builds.
When I fall behind in lane I have no choice but to go for the Lethality build because I won't do damage during the mid-game. However, if I am doing well, got a few kills, or had a safe laning phase I go into the Crit build because I can still do the same damage as Lethality.
The difference is when you are backing with 1.1k gold or 1.3k+ gold.
It is better to build the long swords for lethality than to wait for a BF sword because the pick-axe for I.E needs another 1.3k for BF or a useless cloak that is 800G for 10DMG(you can buy two long swords). That is wasted time and a lot of time farming instead of helping out in the mid push after you win your lane.
That is why you MUST win that mid-lane push after you take mid tower, or top tower. You can't just steal your mid or top lane's farm, that puts your mid or top behind and you are losing CS bot lane.
You aren't going to beat their mid-lane group with a cloak or a pick-axe, or just a BF sword. If you have a I.E when you rotate Mid, your ult will kill most targets.
The gold investment for a pick-axe and an cloak to complete the I.E or the items for the ER are not worth the time investment if your behind or not ahead.
So both builds are great but, depend on the game.
However if the game drags into late game, the Lethality build is garbage.
You don't have a rapid fire cannon, so your zoned very hard by tanks, and your ultimate does little damage to the front line and depends on the enemy team being awful. And even if you get a RFC, you do not have the Crit to fully use it, doing 200 damage to tanks per shot is awful when they have 2.5k-3k hp.
With a crit build, your Ultimate will burn the living hell of tanks, reducing their HP to 60% is important to start a fight.
Your forth shot is going to zone half the enemy team.
A Crit Build Jhin with 4 items will 1 shot any Squishy with a 1.4-1.6k brust + death fire touch.
That damage with a lethality build is only 820ish.
In the late game, killing targets quickly is more important than damage over time because in the current meta, many targets are mobile and escaping drags the game out too long.
The reason why pros use lethality is because the games end much quicker. They do not drag on for 30mins+, most end under 28mins.
But for the rest of us, games last in the 40min+ mark, so Crit builds tend to be more important.
Unless this is a flex ranked with friends, lethality will not help you if you had 2.5k and backed. You would have been better off buying that I.E.
I.E vs Ghostblade or EoN are night and day.
Try using training mode and test it yourself. Your ult with I.E will do 300-400 more damage than you would have dealt with lethality. (This is assuming you let the Death Fire Touch DoT do its work). And your forth shot will deal 50% more damage.
The same goes for MF, Black Cleaver + I.E is night and day compared to Black Cleaver + Lethality.