Retired, I think you can set the individual items in your "public" folder to be shared and the path remains the same. It may be worth investigating so it saves you the hassle of tracking down every forum post you have made.
I've been following a very long, very angry, thread on the Dropbox forum regarding this policy change. My problems pale in comparison to some other users. There are bloggers with years of linked images, university professors and high school teachers who use it as part of their teaching program, and there are many business people who also use the service. Through a google search one user determined there are well over a million images on the web that will go dark in a few months, and due to his search criteria, it could be many millions. To make matters worse, many of these users are actually paying Dropbox an annual subscription for their accounts. Dropbox is getting slammed everywhere for this abrupt policy change, long threads are popping up on many forums, even the printed media has picked up this story.
My understanding after reading a response from a Dropbox representative is that none of the links from the public folder will work, not even with editing. A new link must be created for each image. And if I simply replace the existing link with the new link, only the link will display, not the image. However, there is a minor edit that can be made to the link that will cause the image to display.
So, if I can find every photo I have ever linked in multiple threads and forums, and then one by one replace the link with a new one that must be edited, I'm back in business. However, I've got the same concern as every other Dropbox user, i.e. after I've gone to all that work, how long before they slam that door shut or decide to charge an exorbitant fee. They have lost the trust of their entire customer base, and many are simply moving on.