Actually, the head would generally let enough air/water through to preven the tank from collapsing.
I suspect the only way to create sufficient vacuum in that scenario would be from a clogged vent hose in which case multiple hoses as well as the holding tank would all collapse as well.
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You know what the first rule of sailing is? ...Love. You can learn all the math in the 'verse, but you take
a boat to the sea you don't love, she'll shake you off just as sure as the turning of the worlds. Love keeps
her going when she oughta fall down, tells you she's hurting 'fore she keens. Makes her a home.
—Cpt. Mal Reynolds, Serenity (edited)
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Still—DON'T READ THAT POST AGAIN.