I think this post is a bit of fear-mongering. Cold crashing is very commonly used, and without all of these ill effects. The only way you'll suck in the liquid in your air lock is if it is over filled.
As far as sucking air in is concerned, let's look at some math.
The coefficient of thermal expansion for water is 0.00021 per degree C. On average, you're probably dropping about 15 degrees C when going from fermenting temp to cold crash temp. This means that the expansion multiplier will be 1.0032. So, if we are talking a 6 gallon pre-keg/bottle volume, that will be a decrease of 0.019 gallons of volume, which is less than a third of a cup of air, which is comprised of only 21% oxygen anyhow, so you're only allowing roughly 1 tablespoon of oxygen in. Keep in mind that water actually expands from 7 C to 0 C (and during freezing too, of course), so if your cold crash temp is below 7 C, which most are, the amount of liquid compression will actually be less than I had calculated.
If you're cold crashing in a carboy, you probably have minimal headspace, so the air compressing would be negligible. Worst case you have a couple of gallons of air in a bucket. In this case, the coefficient of thermal expansion for air is 0.0034. Given the 15 degree C temp drop, that would give a multiplier of 1.05, which would be about a cup and half of air, which would be about five tablespoons of oxygen.
So, you have a suck back of anywhere between less than one and five tablespoons of oxygen when cold-crashing. Keep in mind that CO2 is heavier than oxygen and the blanket of CO2 will mostly stay next to beer. Also keep in mind that we only cold crash for a day or two usually, and also keep in mind that if we keg, we can also blanket the headspace with CO2 before transferring to keg (at least I always do).
Bottom line is that the worry about oxidizing beer or sucking in liquids from the air lock during cold crashing is way overstated and overly worried about.
I'll take the minute chance of a tiny bit of oxidation as a trade-off for clearer beer every single time.