[The Bryce]

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I would think it would be the opposite. If they have no idea that you are randomizing, then randomizing will have an impact on what they perceive your bet-size represents.

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I agree that there is a lot of information jammed into one sentence here. What it's meant to communicate is that randomizing your raise size will not impact your opponent's perception itself. So, for example, if your opponent perceives big raises as representing strong hands he's going to react in one particular way when you make a large raise, regardless of the fact that you may occasionally be raising with weak hands (which he doesn't know).