I prefer (obviously) to remove that scene. Rather than Windu ordering Anakin to gauge Palpatine’s reaction to the news and report back, Anakin simply does so on his own. Makes it a tiny bit stronger for him to let Windu know what he discovers. Plus, there is value (at least in my arrangement) in using the deleted scene between Windu, Yoda, and Kenobi (so that Obi-Wan is in on it and can interact with Anakin in that capacity during the climax), so it’s simpler to remove the whole war room scene.