@Dr Lovecraft I suppose if you just want deal with just the first game (that's fair, 35 years of games and supplemental material is a lot) then that's probably all they were. A lot of the enemies changed identities a few times over the series history, darknuts have been a few different things, animated armour, evil knights, dog people etc. I think the only place they outright state the wizzrobes are undead is in the Hyrule Encyclopedia and it's a bit dicy exactly how much stock you want to put in that even if it is technically canon. But starting with
Wind Waker onward there was a definite aesthetic shift towards them being more undead-like, to the point where in
Breath of the Wild they are right on the line of being completely spectral.
The point being, the games definitely had necromancy. I don't think you ever fight a necromancer outright but it's not really hard to look at the Earth Temple (
Wind Waker) or the Shadow Temple (
Ocarina of Time) and see they were getting up to some freaky undead shit in there.
But as with everything, and especially if you just want to deal with the first game, and the first game only, that's really your call. My personal thoughts are that it's not much of a stretch to say that wizzrobes can perform necromancy.
So they are not like liches in the sense that they can raise the dead, as that's not mentioned anywhere on their page as far as I'm aware, rather they're like liches in the sense that they are undead.
In
Wind Waker the boss variant of wizzrobes can summon the regular version of wizzrobes so if we're talking in the parlance of wizzrobes being undead, then that would be a greater lich, raising lesser liches. But as with most things in Zelda, the specifics of the matter are pretty up in the air. Nintendo is very big into the "let the players decide what it is" style of worldbuilding. Makes writing stories in the Zelda universe a huge headache.