Much depends on your location as to which definition may be used or if there’s really a difference.
However “survival” encompasses so many things, including economics and politics that it really is a more general and all inclusive title.
While bushcraft is pretty much relegated to outdoor studies and practices.
A hundred years ago, Kephardt even broke up much of ‘bushcraft’ into two books, “Camping and Woodcraft” which were combined in one book in 1916/1917.
Here’s a link to the 1906 version: