I would define a twist as a complete turn.  There is some difference
of opinion on how many twists to give a bass string whether double or
single wound, but there's pretty much a consensus that it gets twisted
in one direction: the same direction as the winding is wrapped.

If you have the strings twisted in the right direction and there are
no other issues like bridge problems, it could just have been a badly
made string -- that happens sometimes.  My feeling is that anything
over two turns is apt to be overkill.

I'm curious as why it would take two or three months to get a
replacement string?

Richard Friedman