I don't think the comment on log-log plots is limited to just log-log plots, and the point is that there are times when the width of the line of best fit, toget

I don't think the comment on log-log plots is limited to just log-log plots, and the point is that there are times when the width of the line of best fit, together with the size of data points, misleads the reader to think that it's more linear than it actually is. Problematic presentation of a similar type is particularly pronounced in, for example, finite-size scaled curves, where the perceived goodness of fit is heavily influenced by the line widths of the curves, the size of the data points, and the resolution of the plot. These misleading data representations are something that can be found even in recent publications in prestigious journals (I don't think it's always intentional and therefore won't include any references); also, sometimes it's difficult to notice there are issues unless you are very familiar with the methods, or have tried to reproduce the results (and have wasted months or even years of your life by then).