Beach implies seaside, while beaches occur at lakes too. Take this picture for example: http://e621.net/post/show/268818
No sea, no seaside. It has a beach and a lake.
Additionally, I would like to suggest the following implications:
Lake --> water and gills --> marine. Gills suggest marine features, and therefor should imply marine. At worst a not water based hybrid character could have gills, but that would still qualify it for marine. Lake to water, no explanation necessary, as long as lava_lake doesn't imply lake.
Updated by MaShCr