I think there are a couple things to untangle here.
You ask if he has a point? Yes, he absolutely does despite some of the other assertions here covid it nbd. It's not just about how serious the illness is acutely, but how dangerous it can be in the long-term, even if all you have is a sniffle and there is also your risk of catching it. It is as contagious as measles and there is no vaccine that prevents transmission, most people are catching it at least every 1-3 years if not more frequently and the spread is pretty uncontrolled as people are not staying home when sick and the appropriate public health measures aren't in place - PPE, testing, ventilation etc. School absence rates are up from 2020 as are disability rates from covid in adults and children. Long covid is now the no 1 chronic illness in children in the USA.
The reason most countries discount it now is for political and economic expediency, not due to the science. You can argue with me all you like, but is a mountain of research to back this up. The risk of becoming disabled by it increases with each infection - I should know, I was young, had minor acute symptoms in 2020 and it propelled me into disability which I'm still trying to recover from 5 years later, this has been derailed by catching covid 4 times since even though I do very little and try to avoid illness.
We tried to eradicate polio, we quarantine people for TB, encourage people to stay home with measles and banned smoking in indoor places - why should our approach to covid any different?
With regards to your relationship with your friend, I would urge some compassion without verging into the judgemental side. You don't understand why he does what he does but for example, his risk analysis of staying away from people after holidaying is spot on, it does heighten the risk so it makes sense if he's trying to lower it. Whether he needs professional help, that's not really for any of us to decide - there is a line between things like GAD, OCD and genuinely evaluating risk. Are you able to meet him where he's at? E.g. would he/you be willing to do only outdoors activities, would you test before seeing him etc?
Think about how dissonant he must feel, he understands the risks and he has a friend who is upset he won't just forget about it and be 'normal' again. The world has mostly moved on, but people are still dying, becoming disabled at alarming rates, he probably feels very lonely. If he is rude/stressy about interacting with you in person and online to the point where it's really impossible to do anything/have an enjoyable time together maybe this is a friendship that has run it's course. I don't think he should be telling you how/when to touch your face so perhaps outlining a boundary there would be useful and explaining how the comments about you while you're with him make you feel.
Either way, I would suggest your friendship is going to look different and the choice is either - trying to work with what he's comfortable, with as much curiosity and compassion as you can or grieve the friendship and let it go.