Do you think logos are very important as a product's identity?

I think they're critical if you want to grow brand recognition, but also to communicate right away what your product is and for whom it is

Definitely, but they shouldn't be a blocker to get started on a product. I think a logo can evolve with a product over time as the identity of the product evolves.

Yes! also if you like the logo in first impression, it can create an impulse to look to product

It defines the product identity.