Perhaps you might both tolerate my view on 'conspiracy theories'?
This is building on my example of Twin Towers. I'm also going to mention the use of different words.
English is a fantastic and frustrating language due to our massive vocabulary. I'm going to throw out some other terms that could map onto 'conspiracy' off the top of my head. You will see that they each have a different feel to them, but all relate to power & politics.
Plot, cartel, secret society, chumocracy, old boy's network, [other sort of] network, insider dealing, who you know...
To my way of thinking, the reality of the world we live in is that it's very difficult to become very powerful without making 'connections'. Also, I believe that it's typically, but not always, the case that those that are prepared to swap favours for favours that succeed, and those that are prepared to bend or even break the rules that succeed.
Think of the example of getting to be prime minister of the UK. I struggle to see how anyone could get there without making sure they'd got strong backing and keeping on the right side of those that would otherwise stop them. That can involve backhanders and it would be difficult to stay on the right side of dodgy. My negative views on politicians in general (rather than certain specific exceptions) are best summed up by my being a 'least worst' voter.
Looking back over history, I have no doubt in my mind but that our country's leadership has willingly done nasty things, deceitful things, murderous things.
So whilst I disagree as to any certainty that any of our cabinet members have lied about having the virus, I do think it possible that they would, and do feel that it is understandable if people reach the point of saying that those politicians lie and mislead and cheat so often that a default interpretation of what they say and do is that they're lying.
What we call 'conspiracy theories' can do a lot of harm, but they wouldn't happen if it weren't for the reality of what does happen.
I sometimes wonder whether my default view of "We don't know any more whether what they say is true and what isn't" mightn't be more sensibly replaced by "They're politicians, of course they're lying."
On the other hand, if we simply assume that someone who regularly lies is lying, we could as easily be deceived by the truth, and also looking to see whether something is true or not is precisely what some powerful people, politicians and others, rely upon. Distraction crime. "Look!" says the stranger. Whilst you're wondering whether what they're pointing at is really there or whether they're lying, your purse has gone. And then a different stranger says "Look!" and you assume they're lying and don't look, and you get run over.