OP, I see that a couple people have responded to your puzzlement about the "twisted string" question. Maybe I can add a little info.
First, it actually is something you want to be clued about, and something to be avoided when you restring. IME, if there's a pent up torsion (meaning, tendency to rotate) in the string, when it's up to pitch the string tends to sound dull or lacking in overtones. If you like the sound of dead strings, fine--but if you don't, you want to avoid that. IOW, the twisted string problem affects the tone, not AFAIK the mechanical strength of the string.
If you seat the ball end then cut the string to length and wind it up to pitch with the tuning peg, you'll tend to get some amount of twist in it. With a top loader bridge it's pretty easy to avoid. Just leave about an inch extra at the bridge end (figure the length the winding is overlapped) then start working the tuner. As the string starts to pull the ball end into its seat at the bridge, pause and just rotate the string between your fingers somewhere around the middle of the fretboard. IME, you'll often find that releases a bit of the dreaded twist.
Not so easy with a string-through bass--and all my basses are top-loaders--but if I were you I'd do the same thing: start winding the tuner with the ball end hanging out of the ferrule by about an inch, and when it starts to pull into position just check in the speaking length of the string if you can relieve any twist it's developed. With a string-through, I figure you'd want to do that with both hands, one in the speaking length and the other on the ball end itself. Try that and see if you can't sense that there's a bit of twist in it. Relieve it as best you can, and tune to pitch.
Hope that helps.