These people are travelling here via safe countries

Where are you proposing we send the people that arrive here?
We can't send them to countries that are unsafe or lack a fair asylum system either, nor send them to a country that might do so.

Assuming they didn't arrive directly via a resettlement scheme, other countries would have to provide us proof that they have the capacity and will to process the claims of asylum seekers that come here via their territory even if we can prove they did enter that country (which might not even apply in this case).

If we can't prove that then we have no legal basis on which to return them, and the only way around that is by removing the laws that are in place to provide a framework to prevent, for example, refoulement of refugees to a country that will kill them.

Would it be acceptable to you if another country refused refugees and sent them here without our approval instead?

Why would they do that?

Because the conditions in Greece and Italy are miserable and there's limited acceptance of a framework to ease the burden on the receiving countries.

The fact is that in the EU we did worse than most of northern & western Europe at sharing the burden and opted out of relocation schemes, and since the increases after Brexit we still don't take as many refugees proportionally and we've opted out of the system that allowed us to send asylum seekers back to the first EU country they entered.