Cycleway goes whoosh:
Bridleway goes splush:
Footway goes plod:
Any and all of the above. Tarmackytarmackytarmackytar. Grassy grassy grass grass grass. Cobble cobble cobble cobble. Narrow broad narrow broad. Gra-gra-gra-gra-gra-gra-gravel.
Like the moo of a cow, everyone knows what a highway=cycleway means. Yes, there are variations. Lots of them. But in the absence of any other supporting information (like a surface tag), you can make an assumption that the above pic probably won't be too far wrong.
But just like no-one has heard a fox, no-one knows what a highway=path means. It could be anything.
So if you are using highway=path because "it makes it easier for data consumers", it doesn't. It makes it a pain in the arse for data consumers. Right now I am consuming data for a cycling router and highway=path is the bane of my life. When I see "highway=cycleway" it's a safe bet I can route a bike down there, whereas when I see "highway=path; bicycle=yes" then maybe a bike might want to go there, or maybe it's a steep drop over a precipice with a rocky surface but, by some quirk of arcane legislation, bikes are allowed.
For the love of God, if you must use highway=path, please, please, please, please add a surface tag with a commonly-used value.
And then we'll actually know what the path says.