That's actually seems to be the USA's strategy. Concerning USA allegations of Russia hitting hospitals, I think most of them have been debunked - some were shown to still be standing and operating, without any damage, and others were found to have not ever existed.
On the other side of things, the USA has a penchant for bombing hospitals.
https://en.wikipedia.org/wiki/Kunduz_hospital_airstrike
https://www.wsws.org/en/articles/2016/12/31/iraq-d31.html
https://www.amnesty.org/en/latest/news/2016/09/yemen-evidence-indicates-us-made-bomb-was-used-in-attack-on-msf-hospital/