For me, knowing about my T, especially his vulnerability, is a therapeutic way to remind me "careful, even authorities are not perfect ! Authorities are actually human beings with their own imperfections. Being a leader is actually acknowledging imperfection as a form of normalcy".

I cannot stand a therapist, or an authority, which boundary is never ever self-disclosing.
It means putting a mask of perfection. Therefore, the example is increasing my perfectionist tendencies, so wanting to be as perfect as therapist.
The problem is that such standard is impossible to reach. The therapeutic setting is actually set-up for failure right off the bat because it means a power struggle, winning a contest at all cost.
Therapy doesn't have to be a Pyrrhic victory !!

In my case, I don't feel jealous about T's family. I don't feel rejected. And age difference is too great for T and I competing in the same ground : he is more a grandfather figure with wisdom. My T thought that it was a matter of "I'm not that old", I answered that actually, it's a very positive transference of wisdom's transmission rather than age.
OTOH, I have my own path of happiness. It doesn't mean following "partner, house, children, dog, car". Mine is very different, and that's ok: "it's a variable of normalcy" to quote T.

Had my T been a young T, the feeling of being in a contest for perfection would had been hitting too strongly for my own good.
The contest would had been counter-therapeutic. The feeling of being in a contest for winning would had been too hard to overcome for both parties.