Again has nothing to do with what you wrote...How to explain when something isn't true? It simply isn't true...If you like fake HDR mode on SDR material please enjoy, but don't pretend it is the same as displaying SDR as SDR...
There is nothing fake about mapping SDR into HDR to replicate the content creator's intent.
If you are seeing differences on your TVs, blame the TV manufacturers for the additional processing they do.
Don't be too surprised though if the TV manufacturers come up with FW updates to correct their errors.