Definitely some are. In Finland the situation is basically such that if you cross the border from Russia illegally, you can just claim asylum and stay here for a long time, especially if your home country refuses to take you back against your will (which requires a police escort and lots of bureaucracy anyway). Meanwhile legal migrant workers, including skilled labor, are now subjected to tightened employment restrictions. If you lose your job and don't start in a new one within six months (original plan was three), you'll have to leave. This may make sense for low-skilled labour (of which there is no real shortage anyway), but IMO not for highly trained specialists that are in demand.

Many EU countries are only good at attracting exactly the kind of migration that isn't beneficial to economy.

Yes, as an example the UK government just made it harder for foreign caregivers to migrate to the UK, despite the fact there's a severe shortage.

https://twitter.com/JamesCleverly/status/1759597950353752091...

Less migrants, or at least looking like you're trying to have less, tries to get the populist vote.

How many migrants need caring?

Lately the Netherlands is revising tax laws that are disproportionately advantageous to those with higher incomes.

Tax breaks for well-paid foreigners are difficult to justify in this political climate, and have been reduced substantially in recent years.