So if I have a reasonable proportion of hashing power, I can stop mining blocks and trigger this mechanism. Then the network will happily accept lower difficulty blocks which I can mine very fast, possibly putting my effective hashing power over 51% if other miners still try to produce blocks at the full difficulty.
Alternatively, when the hashing power drops and this is triggered, some nodes will be pumping out blocks with minimum difficulty and others at some other higher difficulty. Do we stick to the largest proof-of-work chain or simply switch to longest chain as the main chain?
Largest proof of work still. 2 half difficulty blocks would have the same weight as one full difficulty. The rule could even be that reduced POW blocks would have sub-linear reward. Two half difficulty might give 95% of the minting reward of a full block.
This effectively prevents users from making transactions until the chaos has subsided because they can't be sure they won't be undone. Thus the result is largely the same as if the rules hadn't been changed - you have to wait much longer for your transactions to get into a block, and because of the reduced frequency of blocks, there is more competition for the space and higher uncertainty of your transaction not making the cut.
What this system allows is for the chain to be stamped at a sub-block rate. It would actually increase block space, assuming the reduced POW blocks are allowed the full MB.