The styles s and can use color, thickness, point size and other graphics directives. Composite directives can be given using Directive.
For single-parameter plotting functions such as Plot, ExclusionsStyle->s specifies that style s should be used to render lines joining opposite sides of each excluded point. ExclusionsStyle uses style for the endpoint of the curves on either side of an excluded point.
For two-parameter plotting functions such as Plot3D, ExclusionsStyle->s uses style s to render the ruled surface that joins opposite sides of each excluded curve. ExclusionsStyle uses style for the boundary curves of the surfaces on either side of an excluded curve.