Protecting your family, yourself or others by all means give the creep both barrels.
Protecting your TV? Not seeing it.
I have not read the case this is about but if what I read above is true the homeowner was on the phone with police for 4-5 minutes. That to me does not define an imminent threat. That to me means you have time to get you and your family out the back door. Honestly if I had kids (no idea if there were children or others in this house) my first thought would be to get them out of the way and to safety rather than try and confront the intruder. YMMV of course. Maybe blowing someone away in your house is a good lesson for kids.
Again, protecting your life or others then absolutely shoot the guy.
As for the rest it is just stuff. Unless you have your life savings in cash on the family room floor I am hard pressed to think just how much one guy can get away with. Your computer? Your TV? Whatever it is there is a distinct limit to how much a person can carry. If you have exceptionally valuable jewelry or artwork then you almost certainly have it insured. Your TV and other usual stuff is covered under your home owner’s policy.
So, is a human life worth a $2000 TV to you? Maybe $300 for your deductible?
I understand someone taking your stuff is hugely angering. My place got broken into when I was in college. Furious barely covers it. But I wouldn’t kill someone over it.
Actually that brings up another point. If you caught up with the guy two blocks away carrying your TV is it ok to shoot him dead? If the cops get him should the thief get the death penalty for the theft? Why is it ok to shoot him at your house (assume you can easily get out the back door and to safety) but not kill him any other time if he is caught?