https://en.wikipedia.org/wiki/Windows_10_editions#Comparison_chart
Important features for us that are only available in Pro:
- BitLocker: LUKS-like solution,
- Hpyer-V: KVM-like solution,
- Joining Domain or Active Directory,
- Remote Desktop host (Home is client only).
Since you can buy Windows Pro for ~CHF 4, I don't think it is worth considering Home for CHF 3.5 anymore.
Maybe for relatives if they are paranoid about the CHF 4 version, and want to buy on full retail price, then saving the CHF 100 makes sense (they are not gonna use any of the features anyways).
There is no difference in stability, gaming or other applications support level. So you can go for the Home edition if you want.