This first example is weird. That change has a pretty big impact on the way the form works; browsers serialize forms using the name attribute so that change means the form data that's sent when the form is submitted is going to be different to what it was before. You'd get FullName=<value> in the form encoded data from the first input and Name=<value> in the second. I would expect a change like that to break a test.

If you don't care what the name is then don't use it in your UI tests. For example, use an ID instead. Using <input name=“FullName” id="nameinput"/> you could locate the element using by.id('nameinput'), and then you could change the name <input name=“Name” id="nameinput"/> and your tests would carry on working.