Yes and no.

Google did a very good job on things that required longer research times and compute scale, note that Transformers, BERT & Scaling Laws came out of Google (though the latter were also worked on at OpenAI).

Conversely, Google is horrible at product, and without OpenAI, it probably would have taken many years longer to take off. I know this because Google had demos of this internally, but absolutely no stomach to release it, and they didn't believe in the API use case at all.

Which is to say, I think if Google was smaller, we probably would have gotten more SaaS, not more breakthrough research.