I remember worrying that Revolution of the Daleks (the 2021 New Year's special) was going to look dated AF given it was filmed in the fall of 2019 and 2020 was a year that had some... significant changes occur throughout the world. But in the end, Revolution held up reasonably well for something written and filmed before a year that saw some drastic changes by the time the episode aired. So in the end. I wouldn't worry too much about whether something filmed now will accurately reflect the world we live in when it airs in late 2024.
It was still a bit… ropey. More for its clumsy ‘look bad government! All Cops Are Daleks! Defund Skaro!’ Stuff, and the fact that not only did Remembrance Of The Daleks do a significantly better story with its use of very very similar elements, but even farting Slitheen and Scissor Sisters Master did a better job with the political aspect.
Maybe it’s because I spent so long with the Cartmel era, but the Chibnall era was utter pony at doing commentary and allegory. McCoy and Capaldi were the best Doctors for that stuff (Battlefield, Happiness Patrol, Remembrance — heck, just through in all of seasons 25 and 26 — and Zygon Inversion and The Doctor Falls should have scenes and stories taught in schools) Whitaker was sadly saddled with sixth form am-dram stuff in comparison.
Though now am thinking about it, it’s possible I have ‘Daleks invade a big yellow storage’ confused with ‘that shit one that had police Daleks in’.