While not an in the wild big, I was a disbeliever that it could even be exploited from a browser, but just last year Google proved me wrong https://security.googleblog.com/2021/03/a-spectre-proof-of-c...
Not always. When using AES algorithm the key gets expanded and the expanded form can be distinguished from random data. Combination of RSA private key and public parameters should also be distinguishable from random data due to integer multiplication properties RSA uses. There are tools for searching encryption keys in program memory using such tricks to recognize them. Such tools would typically be used when a program like game or DRM media player runs on attacker controlled computer, but in theory would also help when fragments of memory can be leaked from a server due to side channel attacks or bugs like heart bleed.