well, with some help by @dalto that can be found here I configured my dracut to be quiet (like it is on Fedora/RHEL by default) and now all I get is
(4/6) Updating initramfs...
:: Building initramfs for linux (6.1.8-arch1-1)
:: Building fallback initramfs for linux (6.1.8-arch1-1)
A lot less output than mkinitcpio ever generated.
And if there are real errors (what you call errors are simply warnings) they are still displayed.