.. to make it more bowed, therefore stronger against snow load. Am I right so far?...
I have been reading articles and watching YouTube videos on using cattle panels for greenhouse/chicken run. Obviously, where you live will factor in to how much bracing you would need for estimated snow load. The more bowed the cattle panel, the less surface area on top of the dome and more chance for snow to slide off. But then you also have less usable area under the dome for the chickens. The YouTube videos I have watched seem to indicate a maxime span of 8 feet for a nice bowed dome, but if you live in snow country, then you would also need a 2x4 beam brace on the top so the dome does not collapse in a wet/heavy snow.
The picture I saw of the cattle panel across a 10 foot dog kennel is way too flat for where I live. It would need lots of bracing and at some point you would have to say to yourself there must be a better option. I am still interested in using cattle panels for a chicken run, but like you, snow load is my main concern.