I would.
I live in a coastal region with driving rain in storms, and have no damp troubles at all. house is fairly modern (1980's, I think). The fill is treated with some kind of water repellent material, and you actually can't make it wet even if you put it in a bucket of water. Mine was put in under a contract with the regional electricity company, which I trusted to enforce high standards.
Sadly you seldom hear from the satisfied customer.
The rules that can force installers to remove it at their own expense if put into unsuitable buildings have, I think, made installers much more careful, and they should be fully aware of the risk factors by now.
I did once clean out builders rubble from a cavity wall in a previous house, using a rake and builders vac, it was quite a tedious job.
Modern houses are generally built with insulation in the walls, also reducing the chance of rubble getting into the cavity, so I should think the retro-fitting industry must be getting smaller.