Can you post some links that clearly demonstrate that this is a Panasonic S1H problem ?
All I've been able to find is the standard blue LED problem that virtually every digital camera has, and it's always caused by LED lights that have a massive blue spike in their spectrum.
The stuff about blue T-shirts clipping and yellow clipping are reports from the S1. While a lot of cameras have similar issues what I am hearing from people is that its particularly bad on the S1. Hopefully the S1H is more tame, but I am not counting on it. That said Panasonic has responded to people and said they will be working on it, so that is encouraging. Apparently the S1H videos on B&H all have it pretty severely.
The GH5 didn't have that issue in Vlog at least not to the degree the S1 has it. Have to wait until more people get their hands on the S1H.