In the past I would have said writing in the paper holds more credence than writing on the Web. Now though, I feel that they are both important. I look to the Web for news and help with all sorts of problems. I will say that for long amounts of reading, writing on paper is definitely easier to read.
When transferring writing on paper to writing on the web you need to make sure you copy it exactly and provide correct documentation of the author and such. If it is your writing, I suppose it really is most important that you just copy everything correctly. If you mess something up and then post it on the web, you'll have to deal with the consequences.