A search online confirms that it was a redress of an existing bridge set.
A reference book "Delta Quadrant" claimed that it was redressed Defiant bridge set, which seems unlikely.
Online sources suggest that it was a redress of the Excelsior bridge from Flashback that was also the source for the Prometheus bridge, which seems more likely than redressing the Voyager bridge as this would have substantially slowed down filming either of those episodes or subsequent ones.
Five years ago I tried to compile a list of all the battle bridge redresses.
I think your reference book may be confusing phenomena. The exterior design of the Nova-class was derived from an early concept sketch for the defiant, and this may have been claimed as the case in-universe as well. The bridge can't really be a redress though, since their layouts are very different.