The rich absolutely are not doing that. Like at all. Not even a little bit. The market hits new highs routinely because they're doing the exact opposite of what you're talking about. They're taking liquid assets, CASH, and putting it into income-producing assets, stocks. Especially those paying dividends. Cash is the riskiest place to have your money with the insane inflation and devaluing of the USD.
As for the markets and when they'll see some "correction" or "crash", no one really knows. The ones who "predict" them get lucky the one time they're right. Most the time they say a crash is immanent, they're wrong. And predicting the crashes off of prior indicators hasn't proven anymore likely either. Will it happen? You betcha. Can you predict it? Not likely. If you have several years until retirement, it's likely a mute point anyway as the market has always recovered in skyrocket form to pre-crash levels and beyond within a year. So continue to dollar-cast-average (continue putting in your same amount all the time) and you'll be just fine. Time in the market (via DCA investing) trumps timing the market (buying only lows and selling out of highs) for like 95% of investors.