No, you're muddying the waters by conflating the terms as if they apply to the same dimension. Democracy does mean "rule of the people". But populism means those people being taken in by overly simplistic gut-appealing messages. Of course, it is generally hard to judge this objectively. But often the people end up choosing leaders that directly oppose what those same people claim to want, in which case the failure is clear.

For example look at the current dynamic in the US. Hefty and unpredictable import taxes are harming the domestic industries we still have left. But when you try to point this out to the average populist, they go right into the refrain about how we need to compete with China, like nobody else understands this goal or something. They're basically stuck on the simplistic gut-appealing mantra, and can't get past it to entertain criticism how the current policies are doing the exact opposite as being claimed.