As well as the counties you mentioned rates have risen considerably in countries such as Italy, Germany and Netherlands all of whom have banned the vaccine. The rates in Spain are rising again, not falling.
The latest from Our World In Data doesn't agree about Spain, I did mention Italy in the other post as increasing and the picture is mixed in Germany and the Netherlands but I'd agree it looks like the start of a rise:
Italy: The death rate has increased +.56 deaths/m in a week, confirmed cases +43/m
Germany: deaths -0.44/m, c.cases +23/m
The Netherlands: deaths -0.43/m, c.cases +63/m
Spain: deaths -2.56/m, c.cases -2/m
(For comparison, UK: deaths -1.26/m, c.cases -2/m)
But all of these are considerably lower in current rate, increase or both than Czechia, Slovakia, Poland and Austria, so I don't think there's yet a strong enough incentive for politicians in Italy or Germany to overrule the regulators (suspensions were ordered by Agenzia Italia del Farmaco (AIFA) and the Paul Ehrlich Institute in Germany, but it was the Ministry of Health in Spain) and I think The Netherlands still has a lame duck caretaker government until elections tomorrow.
Is there information which the wider public across Europe is not being told?
How do we know if we're not being told? I don't think anyone here has special access.
Have the regulatory authorities in EU nations lost their marbles?
Only inquiries after the crisis will decide that.
Think how many blood clot incidents there have been for those suffering from C19. Can't stop C19 on a precautionary basis though. Well not suddenly. But mass vaccination offers the way out - just get it done (as some politician said).
I don't think simplistically dismissing concerns and blindly steamrollering on would help either. That would be another quick way to destroy trust in the regulators IMO, if people start to feel that yellow cards are not being assessed sincerely. There is a lot of scope for stuff to go wrong with this and we must keep monitoring — but at the moment, it does seem that the vaccine is still worthwhile and some vaccination regulators are being overcautious, while hopefully some are assessing that they've got enough supply of other vaccines that they can afford to pause use of OxAZ.