It is a terribly stupid idea.
Our only hope is too flatten the curve.
If you could guarantee a group of people would be part of the mild cold symptoms (~80%), it would be nice to have them get it, isolate and monitor, and let their bodies develop the immunity.
They would no longer be able to spread it to more vulnerable people.
It's just like a vaccine, but riskier.
But beyond all that, I now remember there's evidence the virus might be doing permanent damage.
So definitely don't do this. Even if you could quarantine for 10 weeks or whatever.
R0 is around 3.
So 1-1/3=0.67 => 67% of population will be infected.
That is the situation if we don't do effective measures on a population level.
Edit: I am unable to math, fixed.
I'm taking extra precautions because I have asthma.
60-70% could be exposed in Germany, OK, over what time frame?
I would give myself a high likelihood of being in that 30-40%; working hard to not occupy a ventilator if I can because I'm in a privileged position.
That's not how it works unless by "cautious" you mean wearing gloves and properly fitted masks and avoiding all unprotected human contact.
As long as nobody is above 40(?), and there are no underlying conditions like bronchitis, or immunodeficiency, maybe it wouldn't be a terrible idea. But you need to be ready to quarantine everyone until tests come back negative, and then there are false negatives, and it becomes a widespread think idea I'm sure people will mistakenly get their moms involved without realizing how dangerous it is for older people.
Also where did you get 70%? I give myself a 0-5% chance with some decent social distancing.