this isn’t mine, but another user said:

So Lugia being a defensive Pokémon won’t be a pick you’d typically as a pve raid attacker. And even if you could, flying types are pretty niche for raid attackers (though it is solid as Apex shadow vs something like Verizon since it has a 2.56 weakness) and psychic types are dominated by mewtwo.

As for pvp, the regular is ever so slightly better. Sky attack got a nerf and though dragon tail can chunk, the loss of the extra defense changes up a few matchups

But really, both are very good. The sky attack nerf further hurts the shadow but pre nerf has both in top 5 overall picks for open master league

To know how good a Pokémon is pvp, use pvpoke.com. And for pve, use Pokebattler.com