The mechanization of bits via POW seems silly when you first hear about it, but so did the mechanization of information back in Turing’s day. 
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Trustlessness is an inverse function of technical efficiency. The less efficient a computer is, the more difficult it is to manipulate. The more difficult it is to manipulate, the more you can trust it, therefore making it trustless. -
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Doesn't automatically follow; one can have a bad design that is both inefficient and vulnerable (not trust minimized). Typically though a good design must trade away efficiency for more trust minimization (sometimes the reverse works better, but former usually more valuable).
