Plausible deniability is not intended to protect you; it is intended to protect the data. If you know that giving up the key (or all the keys) will not make them stop torturing you (as you cannot prove that you have given them all the keys), there's no incentive to give up any keys in the first place.
At least that was Julian Assange's vision when he invented the Rubberhose filesystem[1] in 1997.
[1] https://en.wikipedia.org/wiki/Rubberhose_%28file_system%29