[Munji, I'll save you the trouble...]
Here is the obligatory post by an old-guy rolling his eyes about YAWFT*.
I know this needs to be discussed, and I don't even care if it happens every day. It's just that it is always the same. Now I'm whinning.
But seriously, when I record or do a broadcast (which is also always a recording, but with no "take two"), I discuss in advance what instrument is desired by the person who is hiring me. Who would not do that?
For an audition, I am prepared and not only know the material, I know what kind of sound is desired, and may select an instrument based on that.
Really kids, you will rarely meet working musicians who care about anything but the music (aside from the paycheck). The brand of your bass, your coffee, and the color of your shorts doesn't interest them. It's how the music sounds. I have had problems with a bass I brought, but only when an engineer objected to some aspect of the sound (like hum), not the brand. BTW, it was a Fender Jazz.
The only time I was asked to re-record something with a different instrument was when several tunes on a CD were redone with upright instead of my Sadowsky. The (paying) artist wanted it, and I did it gladly. It was to achieve the sound he desired, and he got it. Done.
* Yet Another "Why Fender?" Thread.