Digital clocking and which one (WCK or AES "Black") can cause friends to fall out forever!! In my experience of film dubbing stages and digital music studios, the most reliable systems have a house master clock and EVERYTHING slaves to that, console as well.
Use AES reference where possible, WCK if you have to, and some things still need video syncs (black'n'burst) as well. This may mean you have to purchase an AES DA as well, most master clocks will not have enough outputs.
In theory, the whole point of AES is that it is self-clocking, and the AES reference can be extracted from within the incoming signal. The purists maintain this is not the case., ie the clock is less stable this way. Can't say either way, but the most stable systems I know of follow the AES/WCK/video order resulting in less drama than those that just use WCK. The point of AES as well is that there is a sync word within the AES signal, so apart from going at the correct speed, the units are going at the correct "now". Timing is everything in digitland, so in answer to your original question, they are going to have to be seriously crappy DAs for the propagation time to be part of the discussion, but no daisy-chaining clocks please, unless you know it's just a loop-through on the units.
When I was researching all this a few years ago, basically the musos thought WCK was the best, broadcasters thought AES was a no brainer, but they the broadcasters did have to have a single-ended BNC based AES reference signal that would run down 75ohm video cables, because their installations were already flooded with this.