It's never been a problem for me when people send me songs to mix.
The bit depth is basically your noise floor. The higher the bit depth the greater the dynamic range, and the lower your noise floor. That's the key point.
There are several parts in getting to grips with this.
Logic works at 32 bit float internally. When you make a recording your AD would clip anything over 0dbfs. On playback you can push the tracks way way louder, actually into the red but here's the catch. It has to, at some point come out into the real world and pass through your DA to get to the real world. If you're at the point where you're being sent or are recording so hot that you are clipping your outputs then you need to grasp your gain structure.
Your bit depth gives you greater dynamic range and you need that extended dynamic range as it is a multitrack recordiing. Anywhere between 2 and 100+ tracks. The gain gets summed into your 2 bus. The greater dynamic range enables you to keep the tracking gains way lower and not suffer any noise. Internally in logic, gains can be passed between plug-ins much safer as it's very easy to clip a plug-in.
The thing with bit depth is that it will never ever be perfect no matter how much computer CPU cycles you throw at it unless the bit depth became infinite. The good news is that it doesn't need to be perfect. The quietest gear these days is still noisier than a 24 bit noise floor. Way noisier.
If the recorded tracks are not clipping at 32 bit float, they won't clip at 24 bit fixed. I.e. the recordings are either clipped or they are not clipped. If they are clipped then there's little chance of me doing a decent mix. If the signals are hot (but not clipped) I pull all the faders down. Last song I mixed I had to start with all faders (aside from the master) at -5dbfs.
There's little point in having an extended dynamic range if it's not used. 32 bit float comes into its own whilst still inside the DAW. Yes, it would be handy if Logic could import the 32 bit float files and not convert them but it's never been a problem for me as the final output song will always come down to a fixed bit depth.
I suppose my bottom line is: I don't worry about things I can't control unless the actual recordings are clipped. Then there's no way out of it.
Hope some of this makes sense.