Tim, Many of us here use negative punishment when applicable; however, if you see something you think is positive punishment you should report it as that quadrant is innately aversive and against forum rules. Anyways, I like the Humane Hierarchy and LIMA principles, too, but don't use them as ways to justify using force and aversives in training. 99% of the time, the handler could use pr and if they are struggling it is their error, thus moving to something more harsh isn't going to necessarily improve the outcome. If you want to use positive punishment, no one here can stop you, but it isn't likely because of pr's shortcomings.
As to your examples above, #1 if you are grabbing her collar in a way that intimidates her, you are likely just increasing any negative associations with yourself and with the cat. Not to mention, using a crate as a time out or punishment is generally counter productive to crate training, and such a disconnected punishment from her action is kind of pointless in teaching the dog anything. #2 is negative punishment. Hopefully you are pairing it with pr so that she gets feedback when she is doing the right thing. #3 has nothing to do with training; that is a management action, doing what you need to do to keep her safe. Don't even bother giving her your cue until you know she will listen to it in the real world. And hopefully you are working on trading games because repeatedly taking stuff out of her mouth is likely going to increase her speed in gobbling things down or risk rg'ing from you. Best to keep an eye on the ground as you walk to prevent access to those things in the first place.
I am still really failing to see why you think you need to use positive punishment or force in training. Nothing you have discussed requires it. Ie taking food out of her mouth is not training. Time outs are better used as breaks to collect themselves; as you are using them, likely ineffective for your goal.
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