What is and isn’t a critique is so subjective. What we really mean is that the BBC is willing to report news that doesn’t fast the government in a good light. Contrast this with day Al Jazeera which never has reports on the wrongdoings of its primary country.
The BBC has been pretty anti-government since about the time of Brexit. It was really obvious in particular during the pandemic, which had many decisions where all options had major downsides - and they spun whichever the government chose as obviously bad, focusing entirely on the downsides of that particular choice, then forgot about all those downsides and switched to spinning the new choice as the bad one the moment the government changed their mind. They also tend to just outright parrot opposition talking points without questioning or challenging them in any way, because that's reserved for stuff the government does. They even managed to outright knowingly lie about how the UK's Covid response compares to other countries in Europe during the early days of the pandemic, and apparently this doesn't violate their standards in any way.
They're just not anti-government enough for a lot of people; for example, their journalists don't get to tell readers that every single Covid death was caused by Boris and he should go to jail for criminal manslaughter, even though that's clearly something they back given... certain retweets.
Even Australia with only 25 million has two, and IMO it's nowhere near enough. Ireland has two.
Germany has twelve and through those also participates in two transnational public media organisation. Much of it is a purposeful legacy of the allied occupation because one of the earliest things Hitler did is consolidating all broadcasting.
Why you ask have more than one public media organisation? Because you ensure diversity of opinion, create a resilient network, create specialities, ensure regional representation, provide funding and funding options, provide diversity in all manners, more independence from government interventions, etc., etc.
Spain has 13.
The public service remit is vital.
And don't use the term 'broadcaster' for the concept because it limits their role. It might be much of what they do, but think video game funder, social media, keeper of historical heritage, open-source development, educational platform, trusted source of facts (as in Wikipedia), diplomatic tool, amplifier of diversity in all aspects, keeper of audio-visual libraries ... the possibilities are endless.