In general, the potential risk in using PFC caps with soft starters is in having the caps downstream from the SCRs. There are two major issues and when ignored, it's generally a race to see which one causes a failure first.
The charging current of the caps looks like a short circuit to the SCRs and the rapid rate of rise in the current (di/dt) can cause adjacent SCRs to "self commutate" meaning they turn themselves on. When you are ramping voltage with a set of 6 SCRs the timing of the firing of each one is critical. If some of them turn on when they shouldn't, or don't turn off when they should, you get all kinds of trouble and high currents circulating around in the circuit, often high enough to damage the SCRs themselves.
Secondly, firing SCRs creates harmonics. Those harmonics are high when the voltage is phased back the most, steadily decreasing as voltage is ramped and non-existent once at full speed. The harmonics are generally not harmful to nearby equipment because in the case of a soft starter they are short lived since you are not phasing back the voltage for very long. But when PFC caps are involved, you can no longer accurately predict the interaction of the harmonics and the capacitors, especially if they are down stream of the SCRs. When you are starting a motor, the PF is extremely low so the caps are trying to supply all the VARs and therefore are at maximum current. Harmonics add to that and the combination can make the caps heat up, swell and maybe pop if subjected to them for extended periods. So for that reason it's mandatory to at least keep the PFC caps up stream of the SCRs and also a good idea to keep them off-line until the soft starters are done.
For these two reasons, mfrs recommend that caps be controlled separately by a PFC Cap Contactor that only closes once the starter is at full speed, i.e. when the bypass contactor closes.
But is it necessary to keep adjacent PFC caps off line during ramping of nearby starters? I have been in the soft starter business 20+ years, that's a new one on me. One major mfr does not even absolutely require a separate contactor for them, as long as they are up stream (but that means they are on-line all the time, which is also not good). Yes the harmonics they create go both ways so yes, the PFC caps already on-line when the starter next door is ramping will see them. But the interaction will be minimal at that point because the the overall cap current is relatively low since they are supplying VARs only to their own motor when that happens and it is already running at full speed.
As to C-H being a "major manufacturer", I will not disagree from a general stance, but as far as MV soft starters go they are the new kids on the block. For years they brand-labeled their soft starters from another manufacturer (Benshaw) and deferred all issues and designs to them. Their own new MV soft starter has only been on the market a couple of years. I think they are either doing some CYA because they have no idea if it's OK, of they have had an issue with their own design and are thinking that was what was the problem.