Yay, interesting discussion!
FourIsCompany
I don't think it's a very natural behavior, though, for them to try so hard to figure out what I want.
You don't think it's natural behaviour for dogs to try out different things? Or just to try hard to figure out what you want specifically? I would think that it is VERY natural for dogs to have a wide repertoire of behaviours to choose from to try and accomplish any given task, rather than just having one. Not even speaking in terms of training, but in life in general. Dogs that can creatively think about a situation and try alternatives rather than have only one are more likey to succeed at what they want, and would have been more likely to survive/reproduce/eat (this doesn't just apply to wild canids either, but for many domestic dogs). I would think that dogs offering behaviours and altering strategies is a very, very natural trait, and would perhaps argue that it is humans that have, in combination, bred out (in some lines, while in others they strive to maintain it, such as in working dogs of various venues), and trained out, what would be an innate trait. Puppies give a great example of this, in how they are so very creative with some of the simplest things.
FourIsCompany
I don't like the thought of a dog trying so desperately to figure out what the human wants him to do. It seems a bit frantic and unnatural to me.
Hrm, so are you basing a dog offering behaviours as being frantic and desperate? If that was the case, then I think you would find that I would agree with you 100%. I would never promote such anxiety or stresses upon my pooches. However the behaviours I describe have no frantic activity or desperation within them at all. It is simply a try A: if it works, go with A. If it doesn't, try B. It's very calm, and very controlled. And perhaps it would be interesting to note that the lack of anxiety or stress is due to the sheer communication between us - my lack of reward is as clear to my dog as giving a "try again" signal. So they aren't upset or frustrated when they don't get it right the first time, they just know "no, that wasn't it, let's try something else". If I was working with a dog that became frustrated or shut down because they were having problems, I can say straight out that I would not work with a dog in that manner. Because yes, the dog's emotions and state of mind are what is most important.
For the record, when working with my guys I wouldn't normally wait so long to begin the teaching session. Gaci would have been on the dog bed within a minute, two minutes tops, as I would have used strict shaping controls.
But when I say I have a dog "offering" behaviours, they are engaged, active, and alert. And at the same time they are usually quite relaxed with it all. If you watched my 101 Things video with Gaci and the pop can that is what I mean. There is no arousal, or stress, or frustration, as we understand each other. Non-reward for attempted behaviours is not aversive to her, she knows to just try something else. And if I found that she wasn't getting it within a minute or so, that I couldn't find something to reward, I would set the situation up so it would be easier for her to do. I would perhaps even counterargue (the good arguing, as in debate!) that the pride that she feels, the sense of accomplishment, and success, at having figured it out herself, is reinforcing on its own for her, aside from food rewards, and it contributes to her understanding of "the game".
Another thing to note, though, is that we should differentiate between a dog that offers behaviours during teaching and a dog that offers them all of the time. Gaci doesn't wander around the house trying out behaviours to see what will get a reward. It's when, and only when, the clicker comes out that she will do this. She has learned that there is a place and time for offering behaviours, and that is the time that offering will be rewarded. I could see if you had an issue if you thought that my dogs were like this all of the time. That's not to say that the creativity doesn't spill out into other things, as it can (such as learning to open gates, finding ways to open zippers, etc) - that's the part that some people wouldn't like, but she's not constantly looking for methods of reinforcement by offering new behaviours. The "offering" game only happens in the presence of the clicker. At other times I only wish for her to do behaviours that I want, when I ask them.
Now, keep in mind this is not arguing to say "you're wrong I'm right!", but rather to address it in a slightly different fashion to perhaps get a different perspective on things. You have brought up a good issue and I would say based upon how you described offering behaviours, I would say Yes, I agree! I wouldn't want my dogs acting like that either! Perhaps this will assist you in understanding how I treat these situations with my guys. Even if you don't agree (which is fine!), perhaps there is something here that you hadn't considered or thought of, or put into a different perspective. Now that I understand your perspective I have learned a part of why you feel the way that you do.