If they're snowballing it can be ok, particularly if they're one of those champs who has guaranteed crits built into their kit somewhere.
Other than that, the issue is many assassins are doing a sizable chunk of their damage with their abilities which (usually) can't crit, so they get more effective damage against armourless targets by building pen (in the form of lethality). Their kits are often pretty single target focused as well and designed to get in and out quickly rather than sustained damage, so the expectation is they will be free to choose an enemy carry instead of needing to deal with a tank, so lethality is the better choice there.
If they're super snowballed, crit can allow them to also be a threat to tanks, even if they might be doing slightly less reliable damage to squishies. If they're snowballed though, they'll still be able to pop them.
Build paths are probably also a consideration. Stacking a bunch of longswords->dirks/warhammers is much easier than saving up 1300 for a bf sword. Flat ad/lethality also is immediately effective, while crit is quite unreliable damage until a few full items, and assassins are all about trying to snowball early.