Candlestick Confusion (Mixed Signals)

I've been using the OLHC-HA & THV-HA candlesticks for sometime now but I've run into a mixed signal issue.
I recently opened up another window, same pair, same time frame, same date and time but I used the standard MT4 candlesticks.
To my surprise I saw that the OLHC-HA & THV-HA candlesticks were not showing the exact same up or down closing candle info as the MT4 candlesticks.
Please look closely at the two images and tell me what you see and what the heck I should do with what looks to be mis-information. I only picked out the MT4 closing down candles versus the OLHC-HA & THV-HA mis-information of the same candle closing up. There is the opposite mis-information in those pics as well, I just didn't want to clutter up the pics.
To me it looks like the MT4 candlesticks are accurately representing the correct closing of those candlesticks, am I correct?

If this is true, is there a more accurate candlestick indicator with the same color scheme or are the stock MT4 candlesticks the best overall indicator?

Thank you.

HA Candles are Ma based, so will not look like the conventional candles. Upper wicks on normal candles represent Sellers but on HA they mean quite the opposite. Vice Versa for lower wicks.
You will find that the bodies will vary in size & colour, but the high & low prices match the normal candlesticks.

The OHLC-HA shows the TRUE O-Open H-High L-Low C-Close of a regular candle but it is colored the same color that a Heiken Ashi candle would be.
The THV-HA i have no ideal but it looks just like the standard Heiken Ashi indicator that THV put his name onto. Im sure he added a few things into the opitions like TF or some crap though.

HA candles are not MA based. They are based off of the candles average. Im sure you believe that due to all the BS indicators called Heiken Ashi Heiken Ashi Smoothed which uses MAs to get the candles value. MT4 comes with Heiken Ashi standard on the platform from most brokers. Which is the real one.