They can follow the electricity. If they are able to get half of price of most "home miners" then they can operate at half the cost. Even when btc is a lower price they still make profit. Granted at certain level they stop making profit but most "home miners" would have had to pull plug whall they still mine.
Also they do not rent on a lot they make so much they buy the building and buy equipment. A lot are secretive and do not post much.
But here is one example of Mr. Lee's using - https://bitcointalksearch.org/topic/lee-group1980-the-sales-of-first-batch-hosted-antminer-s7psu-included-934581
Regardless, you highlighted Mr. Lee's operation. Looking at his numbers, if BTC price does not rise more than 20% within 90 days of the halving, even he will go out of business. And, I would state his operation from the looks of it is exactly the type of operation you're referring to - in China, with the lowest power costs as well as the lowest real estate and workers wages.
Taking hardware out of the equation, maintenance alone is costing $1.416 per day to make roughly $2.35 per day at today's diff on an S5 (~30% profit). Never mind any gear that's got higher power consumption, which I'd argue most mines are stuck with > 0.7/w gear. I'd estimate that at minimum, 95% of that maintenance cost is the cost of electricity. Once the halving occurs that maintenance fee probably jumps close to or over $2.7 to make that same $2.35. If BTC price doesn't jump 20% immediately (and stay there) on the day of halving, you're now operating at a loss. Even if it does jump 20%, you're now just breaking even, which won't be enough for most large mines to justify staying open.
Having 5,000 miners or 50,000 miners, that maintenance fee percentage doesn't change much. In fact it weighs much heavier on the power cost the larger you get, as your people and building fees become percentage-wise marginalized to nothing. At the halving, anyone who doesn't already have 3-4 cent power is in dire straits, and anyone who hasn't already moved to somewhere that does will quickly find themselves out of business.
Even if you want to factor in more efficient equipment in Q3 this year, what kind of gains are we looking at? Most I read/hear is the jump from .5 to .35 efficiency (~30% gain). If you have a 50,000 miner farm, are you going to re-invest 150% of your existing hardware cost (you know all miners are more expensive when first released) to gain 30% after 4-6 months?