No.
It's for the same reason you would not do something like these:
"What about the gate? Is it operational yet?" Asked Sivus.
"Welcome to the jungle!" Said Ted.
Your examples are just that though, and not really an explanation. I would say that those examples were correct since I believe that she, in the example I gave, should be capitalized.
Normally I would work around the confusion by writing it as follows:
Sivus asked, "What about the gate? Is it operational yet?"
Ted said, "Welcome to the jungle!"
The exclamation point or the question mark stands in place of the comma. If the comma were present, you would write it this way, right?
"I hope the gate is operational," she said.
You wouldn't write:
"I hope the gate is operational," She said.
Since the question mark (or exclamation point) negates the need for a comma, you don't capitalize the word outside the closing dialogue mark if you would not capitalize it if the comma were present. Thus:
"What about the gate? Is it operational yet?" she asked.