Running Cow: I find this a very free-flowing sliding loop, handy for those times you want a .... very free-flowing sliding loop. But I found the knot difficult and time-consuming to dress. This in itself might put me off the knot. It does though (as you later point out) have the quality (not that I can think of an immediate use for it off the top of my head) that if you remove the item the loop is tied around, the knot pulls away to nothing. I note that the Running Cow can distort/ be manipulated into a pair of overhand knots of opposite handedness, with the working end running back through their two "holes". Just because it's topographically equivalent though doesn't make it the same knot. Edit: Further play reveals that, without the distortion/manipulation, it could be described as an Overhand knot loop with a half-hitch (?!). But just because an alternative name can be suggested for it, by breaking it down into what are arguably its constituent parts, does not in itself mean that it is not a valid new knot.
Staked Cow: When I tried to follow the instructions as I understood them, I got a bulky loop knot which, as soon as I applied load to the standing part, flipped into a simple Running Cow. Am I doing something wrong? Edit: Yes I am/was: I was (doh!) putting the loop over the stake rather than wrapping it around the stake. Now that I see that, I can make the Staked Cow in two forms: One with the original Running Cow knot "above" the point where the loop wraps around itself (hmm, Cow within a Staked Cow?), one with it "below". Not sure of the relative merits of these forms, not sure whether one could collapse into the other.
Exploding Cow: Well....it's not very pretty. But then I don't suppose an exploding cow would ever be pretty! I put quite a bit of tension into the two ropes I joined with the Exploding Cow. Once I had done this, the "Long Working End" needed even more load before it would explode the knot. I fear the knot might jam if too much tension was applied. Furthermore, without extensive further testing I would be loathe to trust my life to this knot. It just looks too ....ugly. That might sound like a poor justification, but I suspect most people here will know what I mean.
But whether or not my fears are justified, you have shown what can be achieved by mucking around with a well-known (but unrespected) knot. It's good to experiment, it has to be one of the best ways to come up with new knots.