Just depends on the LSP and how you clay. A good, durable LSP will withstand gentle claying just fine. I spot clay with every wash and it does *NOT* remove my LSP to an appreciable extent. The idea is to use the clay to *pick dirt out of the LSP*, not clean the LSP off the paint.
Even the carnauba on my wife's car will take a *lot* of claying before it appears to suffer from it. But you gotta be *very* gentle about it.