No. One of the few good off the field moves during the Reinsdorf era was to bring back the iconic "Old English" Sox logo and the current black pinstripes uniforms at the end of 1990. I see no reason to dispose of it when Ishbia takes over - none whatsoever.
When I was growing up, the Sox went through a series of bad, sometimes laughable uniforms. First was those awful "old timey" uniforms of the Veeck era that made the Sox look like a joke team to me. Then we moved on to the Astros-wannabe ultra tacky uniforms of the early 80s that Jerry is still in love with. Then we ditched those and went to a super generic looking uniforms with an "Einhorn E" logo on the cap in the late 80s. The Sox kept bouncing from bad unis to bad unis every 5 years or so and that led to a lack of brand identity. Meanwhile, the Yankees, Dodgers, Cardinals, Cubs, Tigers, and many other teams had the same classic uniforms and logos year after year. Going back to the Old English Sox logo with black pinstripes was a total home run.
And no, we shouldn't go back to the red pinstripes uniforms even if some Boomer fans still have fond memories of the Dick Allen era. Our team is not the "Red" Sox.