I don't worry about Google (the search engine product) or Gmail because they're core products of profitable company.
I don't worry about Facebook because I wish it would die (but it's also making money — enough? Maybe/maybe not).
I do worry about Twitter because it's a very useful service to me (making friends and connections) but they've done nothing to ensure their continued existence.
Also, regarding the name, I think it's great. Otherwise we'd be living in a world of searchtheinternet.com or SharePhotosWithFilters for iPhone!