Warwicks are very good for this. They tend to be quite musical at the top, namely the treble frequencies aren't so bright and zingy as to make soloing and chording sound vulgar. Just as important as upper fret access is an even quality of tone, where the highs are just as present and musical as the low notes. For this, Status are also excellent, their basses have a very fine, even response with great definition on the higher notes. On the other hand, most Fenders are not much use for this, nor are Musicman Stingrays.
They suffer not only from a limited number of frets, but their blocky heels get in the way of the hand, the access around the cutaway can be poor and they often suffer from uneven tones, favouring boomy low notes over sweet, crisp mids and highs. YMMV.