It's possible according to what's been written, I've not seen the bug. I've seen corrupt files (the "black screen when entering the strip" bug that corrupts the autosave), it specifically says the file is corrupt. If it just says you can't load it because DLC is missing and it doesn't specifically say "corrupt" on the file or anything, I still wouldn't hold my breath but someone at Bethesda said it's POSSIBLE that you'll be able to recover those saves.
I just got the bug today, after nearly 50hrs of gameplay and about 10hrs of play after the CFWM quest. I have to say I really enjoy this game but glitches like this are BS, honestly this is pathetic for a game in 2010 Bethesda/Obsidian. Please fix soon cause I'll buy every DLC if my game will load again.