I launched more than 30 projects, some successful, other not, and I can tell you, when you're starting out, the logo does not matter at all. The name and domain either.
Once you have some validation, sure! But before that, bothering with a designer-tier logo is a waste of time & money. The app is aimed at small indie makers who don't have time/budget for a designer, but don't want a generic vector from flaticons and others :)