Let's get someone cheap, we don't want to end up like Everton
It's unlikely Amorim asked for 20M a season (or whatever was reported).
It's unlikely Amorim rejected Liverpool.
It's likely we viewed Amorim as a strong candidate but maybe Slot is more aligned tactically with our current squad and how hell work with Edwards/Hughes.
We'll never be privvy to the interview but everyone of our top candidates will have spoken to the club and outlined what they'd want to in the 1st 12-18 months in terms of tactics, current squad retention, player acquisitions etc.. I'd guess any manager we hire will have had a vision more aligned with Hughes/Edwards than the other candidates. That looks like Arne Slot currently.
Hard to know how the club made the decision without hearing what was said in an interview. What I don't think is hard to comprehend is that the club have competent people in charge of this appointment and they'll have had a vision for how we want to progress post Klopp