Absolutely. I've asked this in the past a little differently: "which one do you want me to prioritize first?", only to be left with "both", or "all of them are

Absolutely. I've asked this in the past a little differently: "which one do you want me to prioritize first?", only to be left with "both", or "all of them are top priority", effectively wiping their hands clean of the situation, meaning I'd be the one at fault if I couldn't deliver.