The crux of the problem here is that people are searching for reasons to justify actions that are rooted in racism. That is how you end up with vague discussions about feelings, incompatible cultures, "values" and so on.
When the laws come about as functions of entrenched religious thinking, one is not above the other. This value is also not listed on the page you link.
> equality
Clearly not, as not all refugees are equal.
> Democracy
You've got me there.
Many of the listed values are there for PR purposes: The practicalities of daily living are different or in some aspects even very different.
https://en.wikipedia.org/wiki/Secular_state Take a good look at which countries are not part of that list. You cannot have freedom of religion without it.
> Clearly not, as not all refugees are equal.
The process seems equal to me: https://www.cgrs.be/en/international-protection/refugee-stat....
- equality
- democracy
- Separation of powers (https://en.wikipedia.org/wiki/Separation_of_powers)
- ...
See for official EU value: https://ec.europa.eu/component-library/eu/about/eu-values/