I'd say you need to make the vector. They are simple enough that a tracing program could do it with high accuracy, but any graphic logo I buy definitely needs to be scalable and clean at any resolution.

Very nice though!

Are you feeding in particular words to the generator? Do they have meaning, where it might be valuable to include keyword searches? I'm interested in the area and how these were created, but guessing you don't want to share too much.

People want to put their logos on anything - posters or envelopes. Vector based art would make a lot more sense.

Printing a logo on a t-shirt would require very high resolution or it will look pixelated or blurred. Storefront and billboard sizes are out of the question unless you have vectors.