Is it fine to bunch together power wires?

Try to keep them separate especially digital for best sound.

Every wire with current flowing through it, power or otherwise, that same current generates a magnetic field around it. Whenever a magnetic field crosses a wire it induces a current in that wire. This is principle on which transformers and phono cartridges work. So your question boils down to, is it fine to induce extraneous currents into your wires?

I think not.
https://systems.audiogon.com/systems/8367

Damn, I’ve been doing it wrong for all my life!  LOL

Now, I don’t even know where to begin by organizing mine again. 

I recently bought Furman Elite PF20i and I did notice an improvement in the sound. I still combined and routed as many power wires as I could. UGH!

Alright, I want to see how audiophiles organize theirs. 
I’m not going to the extreme of the system posted above because my OCD would not allow that kind of chaos. 🤪
I’d like to see some ideas for cable managment for audiophiles that don’t have spread out equipment like the one above. 

My equipment is inside a BDI credenza cabinet. 

Depending on your system, your cables, and your ears, you may or may not notice a lot of difference. Standard freebie rubber power cords are probably crappy enough it may be hard to hear any difference. Some quality cables may be shielded so there may not be much difference there either. Haven't compared enough to know for sure.

What I do know for sure, I was aware of the idea long before I started paying close attention and comparing. Once I did, some things like getting speaker cables up off the floor are more obvious than keeping power cords away from each other and ICs. By the time I got to the point where I had heard the improvement well then its like a lot of things once you know its a waste of time to keep comparing comparing comparing it becomes something you just do.

Look at my system, the pictures were taken from different perspectives in part to show how all the cables are kept apart as much as possible. Where they do come close they tend to cross at right angles. There's stuff behind the turntable that holds the phono lead, ground wire, etc so they aren't just dangling over PCs. 

Ultimately this is no different than a lot of other things- borderline insignificant to barely noticeable. Add enough barely noticeable things together however and you one day look back and realize all those little things add up to one very big thing.