LLigetfa
DIYer, not in the trades
When I was building my house I used the tools both indoors and out. Indoors I have GFCIs in the bathrooms and laundry room. These days I only use the tools with outdoor outlets. For some reason the wife gets upset if I use the tools inside. Well at least the ones that make noise and sawdust.The only place I use a GFCI is on outdoor outlets. With a Ground connected. And I use a 3 conductor extension cord...
As for 3 conductor extension cords, can you even buy them with just two? Anyway, it matters not when you use double-insulated tools that are only two prong. Still, JWE will argue that there is current leakage to ground even if the tool is ungrounded and there is no path between the tool and ground.