^^^ Just before bottling, I lay several bottles in a Rubbermaid basin of StarSan, let them fill about half way, take each and shake it until it really, really foams, dump the excess back into the basin and stand it upright. I want to see foam coating the inside of each bottle just before bottling. If I get too far ahead of myself and it has dried out, I'll re-sanitize. Yeah, it takes more time and effort, but it's worth it to me to know I have effectively eliminated a possible source of infection, esp. at that stage of my brewing process.
I'm not familiar with how a bottle rinser works, but where does the sanitizer go after it exits the bottle? It would be a shame if it went down the drain, esp. when the same StarSan can be used over and over.