Most parameters are actually controlled via rcParams already, e.g. rcParams['lines.linewidth']. The case of marker was a bit different, because it had a hard-coded value.

I'm not quite sure if we want to do per-plot-type settings of all the style parameters. It adds a bit more flexibility for default styles. On the other hand the styles would have to define many more parameters lines.linewidth, scatter.linewidth, ..., which most of the time will be identical. Or alternatively we would need to implement a cascaded style system with a general line width, which may be overriden with other per-plot-type settings.

If we decide that per-plot-type settings are desireable, I propose to develop such a cascaded style system first to keep the complexity under control. Personally, I'm -0.5 on this because the gain is not large enough compared to the amount of required work.

Another issue for colors (including edgecolors): The code is already quite complex and I strongly advise against adding more stuff in the current state. #11663 starts the color parsing refactoring and should be merged before changing anything color-related in scatter().

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