How much average DPS do an Astrologian's cards contribute in a raid?

[ty_taurus]

If you're not drawing any balance or arrow cards in a fight, you either aren't using Draw enough, aren't taking advantage of Spread/Shuffle/Royal Road, both, or it's a fast fight. You can also manipulate your deck so that you start hard content with balance/arrow on hold with a Royal Road effect so there's really no reason why someone can't at least have the starting damage boost.

Spear, Spire, and Bole all also contribute to raid DPS in more indirect ways. Spear means faster non-GCD abilities (NIN and MCH love this), Spire is a great card to Royal Road and helpful for DPS in long fights later on, and Bole can be combined with HoTs and Shields to allow you to DPS longer.

I doubt your cards' DPS contribution is too low to appreciate.