>>96826751
they have very different priorities and skillsets. a vampire fundamentally has to hunt, so it's built for punching down. The matchup with something in it's own weight class, especially another sentient undead caster, is terrible
>hunting at night, invisibility
too many counters to list
>becoming mist or swarms of bats, summoning wolves
the lich has stinking cloud, weather manipulation and counterspells
>charms, hypnosis, seduction
the lich is flat out immune
>flight, summoning undead
all moves the lich has better variants of. and for summons, the lich can override the vampire's control and also has access to non-undead summons so isnt vulnerable in return
the vampire is stronger and faster, better armed and armoured and has active regeneration, but in all other ways the lich dominates. a vampire lord with all their gear and thralls setting out to slay a lich would probably win because they have the resources to siege out the lair, but in a straight head to head match the lich has hold monster, sickening radiance and fireball on tap, and restores from their phylactery even if they take a dive.