The stabilizer has about $200K of daily funding from DHF, but to use it to buy up HBD from the market it needs to be converted to HIVE first which takes 3.5 days. (Plus another smaller amount of HP funding from @hbd.funder via power downs, but this doesn't change the big picture.)
So someone trying to sell a lot of HBD ($1m+) in a few days would probably drive the HBD market down unless someone else wanted to buy it (which they might to do speculate on ROI from price recovery within a week or two). If they sold slowly over a week or two or longer, the stabilizer alone would likely handle keeping the price reasonably steady just below $1.
RE: @lazy-panda now with more than 1M HBD in Savings