Same here. The difference is burglary is when you're not at home or asleep when it hapoened and home invasion you're home and aware of tge burglary.
For one he isn't a burglar at that point. He is a home invader and a robber. Second, no one said you can/should shoot a home invader if he surrendered. In fact you can be charged for murder if they find out that you shot him execution style.
"Surrender" is problematical given the close proximity the invader would remain to the person in the home. A burglar/invader might TEMPORARILY surrender, but 90%+ times that person is going to then either attack of flee. The person is not just going to wait a quarter hour for the police to arrive - but instead be seeking the best moment to do one of the two - attack or flee.