No because the way one sound sounds by itself and how it sounds with other sounds is completely different. Let me give you an example:
You have a Synth melody line that is in the bass frequency and you also have a bass line. Now both of them by themselves sound great. But once you put them together, they will both occupy the same frequency range and will therefore interact with each other. And at this point, you will be back with having unwanted frequencies that were triggered by the 2 sounds playing together. So you will have to fix it by mixing them together and making them sound good together and you would have to chose the right tools for that task and that is on a case by case basis but yeah you could still have to EQ and Compress sounds together.
Now one of the first thing I learned and the reason why mixing can be so difficult is that the main goal of it is to make everything sound good TOGETHER. Yes, you can have the best recording in the worlds where whenever you mute any instrument individually, they will sound insane amazing. But once you put them all together, it will probably be a bit of a mess because each of them will enter in conflict in different aspect of the sound and your job as the mix engineer is to take your time and put each instrument at the right place to serve the mix and the overarching goal of said project.
If we look at ''And justice for all...'', the one thing you would hear about the mix is ''where is the bass?''. And it would seem that because Lars and James wanted their sound more upfront, it cut out the bass. Here is a quote from Jason Newsted: “Being in Flotsam, I did not know about playing the bass part yet, I just knew about playing bass really fast like guitar, basically everybody playing the same thing like a sonic wall,” he
said in 2013. “So it ended up with everything being in the same frequency – my bass and James’ guitar battling for the same frequency.''
That last line adds to my point.
Anyways, I could go on and on but the end point is that compression and eq and all of that doesnt end with track individually. The more you will learn about mixing and the more you push your mixing skills, the more you will learn how intricate it can be to reach that sweet spot where everything sounds amazing together and how much work it will have to go through! The endgame is to make everything sound good together!
Hope that helps!