I find this to be highly system dependent.
Interconnects:
I have experienced high-end balanced interconnects making a profound difference in one system and no difference at all in another which I attribute to the design of the gear.
Power cables:
I have experienced power cables making only subtle differences. I think tubes are far more sensitive here but could be wrong.
Digital
I have experienced fairly noticeable differences in digital cables but find USB less sensitive than SPDIF and other formats, though I still use something better than stock. For reference, I previously had Auralic gear which recommended using their proprietary connection (Lightning Link) over HDMI format cable. Upgrading those cables made a very noticeable difference. Lightning Link stock cables outperformed expensive SPDIF, USB, and AES EBU connections. For those who might own Auralic gear - this is an easy recommendation.
Speaker cables
Like most others, here I have found the greatest difference. FWIW - the most profound experience was with my first decent set of speakers where I swapped out the supposedly “high end” low gauge stranded wire and the jumper plate on the back of the speakers with low end analysis plus bi-wire. Shockingly better. From that experience, I took away that guage means far less than pretty much everything else in the design of the speaker wire.
In my current system, all good quality cables sound pretty good but bring different attributes gently to the table. No earth shattering revelations yet though I’ve stopped searching with my current cables because I don’t believe they can be materially bettered.
Quick note to @mike4597 - the Fidelium’s might be the best value in high-end audio. They are truly great speaker cables - period. On a value basis? Off the charts good.
In sum: though I can’t reliably rank in order of importance, my experience is that power cables have been the least important. I’ve never had a holy $hit moment with power cables, unlike for all the others.
As usual, YMMV.

