I think your information is a bit out of date; the party currently in power in Taiwan (the DPP, which has controlled the presidency and legislative branch since 2016) is pro-independence, and the people are strongly not in favor of reunification.
A quick look at Wikipedia suggests that (as of 2019), about 49% of citizens supported independence (though 21% believes that now is not the time due to the political climate), with 31% supporting the status quo. Only 10.3% outright support reunification.
In 2020, support for independence increased, to 54%, though support for reunification also increased to 12.5%.
I think it's pretty safe to say that an overwhelming majority of people in Taiwan do not actively want reunification with China. The DPP has never held that position, and the KMT dropping it would surely splinter their supporters[0], though possibly not a majority of them. Obviously on the PRC side of the equation, allowing Taiwan its independence is a non-starter.
[0] Anecdotally, it does seem that KMT support skews older, so I expect new and future generations to continue to lean more toward independence.