Yes+No ("Jein" in German) - custom silicon is made for precisely defined algorithms - e. g. calculating beams of a multi-directional radio antenna or encrypt/decrypt messages or make numerical simulations on environmental settings. (Few formulas, lots of data).
Web browsing, in contrast, means (nowadays) executing any arbitrary JS program which all those guys put onto the web. /If/ you wanted that more efficient, /they/ should program the app directly in C/C++/...
Of course programming languages and maybe even the whole hardware designs could learn from today's web. (Which makes the original graphic so interesting). But then it wouldn't be custom silicon, then it would be a complete system change.
But me personally, I would really think twice whether to use/adopt this if it would come around tomorrow - this would be computers far distant from locally-interfacing, locally holding data. They were nothing more than boring web endpoints.
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