It would be lovelier if you showed the name of the exchange/broker, so that others can be watchful of it.

Well, this is an abomination, and in my 20 years of exposure to trading platforms, I've never seen a thing like this, which means it's the fault of the trading platform you are using. Even the Stochastic Oscillator which moves faster than RSI can't do an abominable thing like that, not to mention the RSI itself that I even consider lagging.

Advice: Stop using that platform for your trading analysis, it might have been rigged or bugged. My trading experience has prevented me from even using exchange platforms for my trading analysis. I use only MT4.