If they ever start down, they will eventually come the rest of the way, especially if you drive with the windows open.
We had both of ours done. We found a board for the 88 in a wrecking yard, cleaned off the glue, and had it covered.
For the 88 we took the board out, took it to a shop with the loose material still on it and had it covered.
We reinstalled both. Installation is best done by at least two people.