Meh people would much prefer to be typing their prompts into a Google search box than opening a separate GPT app. I doubt there real issue here is a marketing one. Despite ChatGPT's massive growth numbers the market is pretty immature, it's still very much open and not yet decided.
Many markets had early leaders who got stomped by later entrants.
Social space vs enterprise space. How many companies would want llms integrated with their corporate data, but need trust about the data not being leaked?
Microsoft and Google both have the capability and trust to make this available. When corporates start paying for LLMs, per user, or for applications, both Google and Microsoft and the two companies are in the best position.
All other industries will be users paying for LLMS model access.
1. LLM's don't have a lucrative business model that Google needs.
2. The quality of their language model is really lacking as of now.
You fix 1 and 2, ChatGPT's branding is nothing. Google is the biggest advertisement machine in the world and they can market the hell out of their product. Just see how Chrome gained ground on Firefox for example.
Google is still used several folds more than ChatGPT and if you resolve 1 and 2, Google will make their money and their users have no incentive to go to ChatGPT.