To put it simply, yes, the larger re-enforcement patch will be stronger.
Steven, thank you for the wonderful things you wrote about me and my knowledge. They were all quite offensive. I just hope the BPL community recognizes how ridiculous your advice and scrutiny of a 30 dollar/3 hour test setup is. It's a tarp tie out, not the space shuttle dude. You do realize that I post all this info online to help people build their own gear and have fun??? not teach them about "impulse and constant forces"...backpackers don't care about that stuff. Feel free to perform your own tests, and please post them if it will help us push the envelope even further, I always encourage it, but let me guess...you don't have the time, resources, etc....I love that excuse the best.
Just a heads up, the star design is a great idea and has been done. Do some searching and you will find it. I'd post a link for you but I'm in South America until end of January and want to get back to my beer and beach towel.