KeePassXC does not store any data. Nor does it receive connections from the Internet, like a server. Thus the risk is structurally lower than a commercial client-server application like LastPass or 1Password, which is actually in possession of your password data.
I use 1Password at work for its excellent collaboration features and good-enough security. For most people it replaces a post-it note or Excel file. It’s way better than those.
But for my passwords I use KeePass (the file format) and a variety of clients including KeePassXC. This statement about AI won’t change that, unless someone can give me a reason other than vague “AI bad” or “no vibe coding” like most comments so far.