Unless you're been arrested for a very serious crime, in which case you're going to be defended for free by a very experienced QC who will tear apart dodgy process, you are likely to be arrested for a handful of hours. The exceptions would be being held overnight, if you're drunk/high and thus incapable of being interviewed etc.
Things are slightly different in Scotland where you get detained not arrested, but the principles are broadly the same. UK policing as a whole has been through periods of dodgy processes and huge reforms in the wake of them. There are likely to be very few criminal justice systems in the world I'd rather interact with than the UK one, especially if I were accused of a serious crime.
Edit to add - plus the premise of "fishing" implies there is no existing evidence. The initial justifications for the arrest have to be supplied at the start, and "it might have been him" won't pass muster.
I'm not sure where you get that from. I would assume you fish where you expect to find something, and my interpretation of the many places "fishing" is used (or even "phishing" to a lesser degree), is that it's done where you expect some payoff. Maybe you're thinking of the phrase "he's just fishing", which while often used by people to describe someone searching for something, often fruitlessly, generally the person searching is doing it with the expectation they will find something.
Fishing is where you pick someone first, then go looking for evidence of any crime.