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I'm quite confident that the article applies to weak engines, too!
I think a very strong engine will always win pawn odds games!
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Here's a link that includes discussion of the rating equivalent of pawn or knight odds for a game of chess:
https://en.wikipedia.org/wiki/Chess_handicap#Rating_equivalent
The idea that rating relates so strongly to the ability for a human to normally convert a material advantage of a given magnitude (e.g. pawn) from a given starting position in chess made me wonder if the same applies to engines that aren't particularly strong, whether they're playing against a human or another engine.