DNSSEC can only distinguish valid from invalid NXDOMAINs on signed zones. A tiny, tiny minority of zones in .COM, .NET, .ORG, and .IO are signed. Installing your own local DNSSEC resolver to "fix" the Chrome URL bar would be a tremendous misallocation of effort.
If your ISP forges NXDOMAIN responses, the correct response is to DOH to a provider that doesn't do that. That's a simple networking config change, for which there is UI in every mainstream operating system. The DNSSEC part of this conversation is just silly.