I was thinking that it would not be a s82 problem.
But in general, the wall will be just as damp, (or dry) as it would when moisture runs down the outer skin and holds on top of the DPC.
The drainage channel installed at DPC height, implies that there is no significant persistent damp to the wall anyway, other than possibly a few splashes.
The traditional DPC in an outer skin of a cavity wall does very little, and I'd suggest it could well be redundant and a relic from the days of solid external walls. Whilst building regs may enforce it, it can be easily demonstrated that it has little bearing on keeping the internal side of a cavity wall dry - which is what Part C is all about and where the requirement comes from. And I've argued that very point successfully with BCO's.
Any bridge in a cavity is itself a defect and should not be there. Such a defect is unrelated to any DPC being in the wall, so is not a reason for having a DPC in the first place.
So if the OP's wall is cavity, then this situation should not be an issue.