Bill, the round one is a high pressure gas jet burner and will give you enough BTUs to ruin your oil and fryer. not to mention it will be so loud that you'll need hearing protection to use it. The only thing good about that stylr burner is that it is cheap.
the larger one is not actually a high pressure one and could easily be converted to burn Natural gas if you wanted tU ratings are most likely not wrong, but the lesser BTU rating should do anything you want it to.
Using too much heat can ruin you oil and your meal. Have you ever eaten food that was cooked in scorched oil?
There are reasons that I know these things. I would share them with you but I might find it embarrassing.