There are two issues here, and they are being conflated.
1. Do cables require break-in?
This is unlikely to be resolved for more than a few who have not yet formed an opinion. Lots of sincerity, mixed with disbelief, bombast and outright belligerence on both sides usually emerge on this. Strength of opinion does not equal truth. This, though, does not seem to be what the initial poster is asking.
2. What "sonic differences" are heard? "Better, worse, different?"
These were the questions here. The answer seems conmplicated and simple.
The complicated part: For those who believe (the operative assumption here) that different cables have distinct sonic signatures that justify auditioning, switching, system matching, and the sometimes surreal cost of some cables compared to standard cheapo rca's, it seems quite likely that different cables will sound one way or another initially. How can you say what you're listening for generically, without reference to a particular cable in a particular set-up (including room)? Do all cables have the same sonic limitations when new? Do they all change at the same rate and in the same way? I don't see how any empirical "proof" could be generated with the extraordinary number of variables that would be present, and this is without the input of cable and break in doubters who will surely step up to the plate.
The easy part: Set it and forget it until some break in mile marker is reached. Establish some sort of input to output set up that can be run non-stop and check it at some time interval that seems acceptable to you. Check it periodically to see how it sounds to you. Ignore it most of the time until it goes into its place in the system or is returned.
I described making a break-in thingy for a phono cable that had a right angle din plug using a tuner and pre-amp in another post on Audiogon. I made this because a protracted break in was claimed for the cable, and I didn't want to go through several hundred album sides deciding if I wanted to keep the cable. Perhaps it made a difference; perhaps I might have heard it and noted it at LP side 1 vs. side 50 vs. side 143, but listening for such nuance in break in just wasn't a worthwhile activity for me.
What listening for in break in over various time intervals might be worth to the original poster or anyone else is up to them. You might or might not be able to hear a difference. If it is of interest to you, fine. I certainly know that it's not worth anything to some.