Pyro/cryo hydra effigies?

[RoboEmperor]

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[Kelb_Panthera]

Does the effigy template remove the pyro or cryo hydra's "breathe" attack? It's not listed as a SLA, SU, or EX ability.

Literally every other breath weapon in the game is listed as SU. I would assume that a pyro/cryohydra's breath weapon should be such as well. Consequently, yes, the effigy of a pyrohydra lacks a breath weapon.

[Inevitability]

Don't unspecified abilities default to Ex's?

[A_S]

Don't unspecified abilities default to Ex's?
It's extremely unclear. The possibilities, as I understand them, are:
Unlisted abilities default to Ex.
Unlisted abilities default to "natural abilities," a category that's supposed to be abilities derived directly from a creature's form (like a dragon's flight).
What unlisted abilities default to depends on how they work (e.g., whether they are derived from the creature's form or not)
Unlisted abilities are a fifth type of ability not mentioned anywhere in the rules.
Creature properties that don't have a listed ability type are not, in fact, "abilities" at all.
This question comes up frequently in discussions about whether Shapechange grants racial spellcasting. I have seen arguments presented for all of the above possibilities. I have not seen a stable consensus reached.

Ask your DM. Or ask Urpriest.