OP here. I realize what I wrote was very petulant and full of butt hurt and I apologize. I continue to financially support a few DC rescue groups that I respect, because I appreciate what they do is valuable and difficult.
Weirdly, one of these groups is one that I cited in my OP, the one with the bait/switch, 2-cat minimum that wasn't mentioned to me until pickup day. That came down to the poor decision of one individual and I realize a group with a good mission is bigger than any individual.
But. I'm being truthful about all the $h!t I've dealt with during multiple adoption attempts, both for cats and dogs. I'm not being "dramatic." I am a near-perfect dog and cat owner due to my experience, flexibility, fenced yard, financial and job situation (and lack of small children

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Thinking about it some more, and taking certain PPs comments to heart, I think the problem on my end is that I do have a handful of non-negotiable requirements for adopting a dog OR a cat. I don't just show up and the shelter and say "Just give me what you've got today, thanks." That would certainly make things simpler, like some PPs examples suggest.