After making the transition from 4 to 5 strings, and having had a chance to play a bunch of other 5’s, I would say that neck feel and balance are the most important considerations. After that, a lot of 5’s just don’t have a good low B string. Some sound bad below the 5th fret, and some get fuzzy above the 7th. These things will drive you crazy if they are not right.
Think about what you can live with. My fretless Spector is wonderful, strung with low tension flats. However, the B sounds very tubby below the fifth fret. I work around it. I am not sure you can find a perfect bass for all styles in your price range, but certainly, don’t buy anything based on someone’s recommendation alone.You have to play them.