No, dead labor, is labor that achieves no productive output. Like making mud pies. I don't know what you have been reading but it isn't Marx.
>Marx made the argument that technological advances would undermine the rate of profit, and that isn't entirely true.
Marx pointed out that the tendency of the rate of profit to fall happens because of innovation in the market, or, through greater exploitation of labor. I am unaware of any writings he made where he clearly states that this would cause the system of capitalism to collapse. Marx understood that over throwing the system of capitalism was in the individual interest of the working class as a whole and up to us to pick up sed reigns of history.
Now, capitalism can become something else other than capitalism as we know it through market mechanisms such as the rate of profit to fall and rolling the dice maybe that could be communism (though I highly doubt that would be the case in the modern day and age.) but this sounds a whole lot like the misreadings of Marx as some deterministic path of history when it clearly wasn't.
Also you are going to have to explain how the technological argment was "refusted" because I work and I don't have time to really watch the video currently though I can catch up to it in the future, though, I have trouble believing this because it clearly makes intuitive sense.