As you level your role, my experience indicates that you need to get your “Greater” pets as soon as possible. The reason for having “Greater” pets is so these pets can survive when you do “Instant Adventures”. Lesser pets only level up to level 30, and often your Instant Adventures will be at level 50 or 60, and your lesser pets will die quite quickly in these adventures.
In order to get “Greater” pets, you might need to manually adjust your Soul Points at about level 20-25 to in ways that are not the normal progression for your Role. Here are two examples: Click on the pictures to expand them to see them more clearly.
For an Elementalist, you need to have 21 points in Elementalist, and to have selected “Greater Affinity”, so you may need to manually add the points to get that trait as soon as possible.
For Druid, to get Greater Healing Faerie and Greater Saytre, you’ll need to have 24 points in the Druid Soul.
These Greater pets do much better in higher level instant adventures. There are ways to get pets in almost all the Roles, so you may want to adjust the Soul points in Warrior or Necromancer and other Roles to get Greater Pets sooner.
Enjoy, and Close those Rifts!