I think there are Six types of pure:
1.Gen 1/Gen 1
2.(all parents are first generation)Gen 2/Gen 2
3.Gen 1 bracchus/Gen 1 Bracchus
4.(all parents are first gen and bracchus) Gen2/Gen 2
5.Special Lineage/Special Lineage
6. All one breed all the way down
7.No related wolves in Lineage
For types 1 and 2, purity matters most if you plan on doing a lot of breeding/wanting to create puppery pairs and don't want to risk inbreeding ruining your pairs.
Type 3 is the most important type because Bracchus scrolls are kickstarter exclusive, having both parents be Bracchus will be the closest thing to owning a gen 1 Bracchus
Type 4 is a combination of types ½ and 3, Although I don't know how relevant pure g2 pairs will be
Type 5 can be very lucrative, but is mostly community driven. Examples being a glitched lineages like Naomi, wolves bred from different inactive pairs (Mainly from gen 1 bracchus), offspring of certain id's( 666, 777 ect)subspecies ,ect
Lastly type 6 is one breed all the way down. This one won't mean much to most people, but can be a fun project to work towards, especially if you can do it without inbreeding, but must be self contained in your lair to not risk impurities. Fun if you are doing a royalty lineage project
Edit:I forgot about the 7th type of pure: no related wolves in lineage(Example: no circle backs to previous members in the lineage), very similar to type 6, other than for fun personal lineage projects, I don't think this one matters to most people