https://en.wikipedia.org/wiki/Batwom...on_2)#Episodes
Apparently, the season 2 premiere of
Batwoman had 0.66 million viewers. The season 1 finale had 0.74 million viewers (with the series premiere having 1.86 million viewers). Looking at the numbers on Wikipedia, the only two episodes with less viewers were "A Narrow Escape" (0.63 million) and "If You Believe in Me, I'll Believe in You" (0.64 million). So the change of main character did not spark renewed interest, but there also doesn't appear to have been a mass exodus of viewers either.
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