well, i think that most EC'd kids, if they need to go at all, will go pretty quickly once they're sat down. so if they don't go, they probably don't need to. i think EC'ers are often confused by uneducated outsiders with punitive early potty learners of yester-year, and this is one crucial way to distinguish ourselves - we don't make our kids sit on the potty until they produce the result the we want. little potties used to have seat belts to hold the kid down on them. i actually have a book i got at a second-hand store that has a picture of a kid on one. EC is about communication, so when they communicate "i don't need to go" by doing nothing on the toilet after a minute or so, we acknowldge that and go on about our day. i also think it has the potential to really confuse the kid, and break down communication. if you have them sit frequently and for long periods when no pottying occurs, they are not as likely to make the connection between sitting on the potty and releasing their pee/poo.
as for the advice to try certain times... i think those are just ideas of times when most kids already have a need, suggestions for folks trying to get in the EC groove. i mean, i always have to pee when i wake up, most people do. and if i don't pee before getting in the shower i always wish i had once the water starts running

so those are good times to try since it's likely to be a productive attempt. i don't think you have to try *all* of those, or to do them every day or anything, i think they're just times when lots of kids do need to go, so they're good times to try and see if your kid is one who has to go at that time.
i also think it depends on the age of your baby,and whether you've been doing it a while or whether you're just starting out. For instance, trying at usual times (upon waking, etc) when i started EC with my first when she was 9 months old was really important to us both - it helped her to immediately start making associations between sitting on the potty and peeing/pooing, and helped encourage me in the process because we were 'successful' and were getting results. where as if i'd just randomly plunked her down and sat there for 30 minutes a handful of times during the day, it might've been weeks before we had a catch, because she would have no idea why i was sitting her there and would be much less likely to go. she wouldn't have made those associations very quickly, and i would've probably gotten tired of trying and getting nowhere.
with a newborn it's a little less important... i mean they pee and poo constantly so no matter when you try you're probably going to have a catch

and thus, they're making those connections from the beginning and it's so ingrained by the time they're more consciously aware of things that it's not likely to confuse them if you sat them on the potty sometimes when they didn't need to go.
is that kind of what you were looking for?