I think the answer is, it's both.
When I was an employee sometimes I was happy, like when a promotion was lurking, and sometimes I was unhappy and stressed, when getting fired, when facing deadlines, ....
But when I started working for myself the amplitude of emotions became way stronger, every week I would fluctuate between feeling doomed forever or feeling like a genius.
Life with and without kids is the same: The emotional highs of having kids are way higher than anything I experienced without kids, but sometimes the lows are very low.