There is no "untrue" analog signal.
What you have wanted to express is probably something along the line that an analog signal that was previously going through a digital stage via A/D and D/A wandlers possibly isn't exactly the same signal as at the beginning of that signal chain.
Well, yes. That would be true.
The same is also true for the original analog signal after it has flown through a 20 m long thin unshielded speaker cable, as opposed to the very same signal that has only flown through a 1 m long shielded instrument cable.
Both are analog so they both should be "true", right? Or not? :D
The main annoying thing you may experience via several A/D D/A stages these days is the increase of latency.
But then again, get yourself a quality 20 m instrument cable, plug it directly into your analog amp, walk 20 m away from your amp, and by the sheer laws of physics you will experience an analog latency of whopping 59 ms.
No, you're right.
But my late dad would have strongly disagreed.
Heck, even my wife would! ;)