Not really, but more because the coast would be bathed by the sea. The 'lakeside' could be 'bathed by the water' if you want to wax poetic, Otherwise maybe the standard 'water lapping the at the lakeside' would have to do.

I don't think this sounds natural, for 2 reasons:

1. can a coast be bathed at all? Bathing in this sense is to be immersed (?) in water. One can bathe in the sun (sunbathe).
2. perhaps someone can confirm this, but is the bank (?) of a lake known as a coast? Or have I misunderstood?

Sorry I can't offer you an alternative, not feeling very bright at this late hour!

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Note added at 9 mins (2005-09-21 22:00:53 GMT)
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and I wouldn't say "water of a lake" either.

"...the waters of a lake lapping on the coast..." ???

I'm not sure about this...

...but 'coast' isn't. A coast is the region of a relatively large land mass next to the sea (an ocean), but the region where the water 'overlaps' the land is a shore (regardless of the size of the land or body of water). In any case, IMO the boundary between land and a lake would rarely if ever be called a coast (except perhaps with a very large lake, such as one of the US Great Lakes), but in any case a coast is part of the land.

our colleagues are correct that lakes do not have a coast... they have a lakeshore...

also, one thinks of something being bathed in sunlight, not in lake water... odd as that may be... if the shore were bathed in lake water, it would be flooded....