You seemed to encode here a typical Fiverr logo design workflow that I would do too at no / minimal budget.

May I challenge you to explore these options?

- Not all logos needs colors, actually they should work in black and white as well.

- Your models don't seem to understand meaning or just to be fair, context. A name, tagline is probably too little information to infer a match. For my music tv app, I got 80% notes, keys and other music related icons. Not very imaginative. I usually write down / sketch my first 3 ideas and then throw them away since if it took me 15 minutes it would too for others.

- Why put always an icon there? An icon is a supplement, most successful logos just use a pretty (and expensive) typeface.

- How to do more imaginative typography? I type in The Brand Name and it the engine doesn't even try to change the case of the text.

I would expect to be imaginative, like:

    THE..
    BRAND
    NAME.

From an AI logo maker I would expect you to generate me a vector file point by point, preferably using some kind of GAN-s.