Pet stat sharing and skills

Do illusionists share skills (e.g., disruption, subjugation, focus, crushing, slahing) with their pets?

it woulod be nice if they gave Illusionists a way to look at the pet stats like a Conjy can or give us a pet stat section.

I was told that pets share all stats. Including double attack, cast speed, etc, but so far, not true. got 50% attack speed, 50% double attack, pet never does a double attack. ever.

Pets don't seem to share resists, which is probably why their survivability is so terrible.