> Searching
apt search ....
> getting info about a package
apt show <package>
> updating the list of available packages
apt update
> are all much easier with homebrew
You gotta be kidding me
A reasonable thing to do would be to decide what the deficiencies are and first try to talk to the developers of APT about fixing them, and then as a second (lesser) option potentially deciding to make a higher-level wrapper or supplementary tool which helps these use cases. A totally unreasonable thing to do would be to attempt to replace the entire APT ecosystem with a different tool.
The only thing that is as easy in apt as brew is installing packages.
Searching, getting info about a package, updating the list of available packages, are all much easier with homebrew.