The reality is most of us never hear directly from the CEO. In a larger org, that request trickles down through the VP, who actually has the power to reshuffle priorities. My VP will straight up tell me "park that other thing for a week, we'll circle back" - and that flexibility is everything.
They also act as the filter. Pushback sounds like "team isn't positioned for that" or "we tried this two years ago and it flopped, sure you want to rerun it?" That cover lets the team stay focused.
If you don't have that layer, you have to be your own VP. "Taking on XYZ means Project ABC slips - cool with that tradeoff?" Forces the conversation into business terms instead of yes/no.
Small company, harder to say no. But honest question: at that stage, is the CEO actually a CEO or just an operator with a fancy title?