I appreciate your sentiments on wanting to provide for wildlife and I would suggest you coordinate with the department that manages those lands so you can do the most good. You could volunteer as part of a larger project.
That catchment system is cool and it’s $900. Pretty sure you could buy a box of 22LR for that much dough right here on CWT.
In all seriousness, aligning/coordinating your efforts with that of biologists that have taken into account the location of other water sources, animal movement patterns, etc. This would allow you to make the largest impact for the benefit of the wildlife.
As a public land owner, like yourself, if no one here can dissuade you, I would ask that you monitor it and after the guzzler is no longer in service that you haul it back out and leave no trace.
I agree with you that the person who drove through the temporary water puddle did not do the wildlife or landscape any favors but maybe instead run out there with a rake and smooth it out before it gets too dry.
Worth stating: Also note any man made water source has to have an escape ramp of some type. I have pulled more that one dead squirrel from a stock tank and as you can imagine it does not help the water quality.
Glad you are getting out there!