In an Inven interview, Blizzard confirmed Altar of Lilith points will not be included in Seasonal hard resets.
Seasonal Hard Resets in Diablo 4
Associate Game Director Joe Piepiora confirmed Skill and Potion Points will reset every Season in Diablo 4. However, the reset is not going to include Altars of Lilith points.
What are Altars of Lilith?
Altars of Lilith provide bonuses for all characters you play on a realm. The bonuses are permanently bound to all characters on a server once unlocked. Below you will find a map with all Altars from Beta by Reddit user siegfurd.
Source: Reddit