I'd read a forum post that was very similar (but not as detailed) as the article you posted, and it made charging the device while on sound very not recommended. Hearing your experience with your battery life gives me some comfort though.
Yeah there's a lot info and "not recommended" which usually means not in a 100% air tight room But most if not all always state a perfect scenario. I don't recall shutting of my phone to recharge since the old startac, ever since the first smartphones i've owned since 2005, I don't really turn off my phones any more, alls I do is use airplane mode in any case. (Unless jailbreaking/rooting or an app requires it). The only thing I can say is that never ever fully drain Li-Po and Li-on batteries as the article states. I've got a 7 year old creative zen vision:m, while the battery isn't in tip top shape, it still goes for a couple of days.
Li-ion / Li-po and modern battery technologies DO have a limited amount of cycles before the batteries reduces to 80% ( it depends from brand, but it usually is 800+). A full discharge is one cycle. SO if you plug in to recharge at 80%, you are only using 20% of that cycle? Thus granting you more battery life. Also that never charge to "100%" FUD is based on first li-on batteries, most modern phones reach 98 or 99% percent and round to 100%, hence why some people say "oh sometimes it takes a couple of hours more to get from 100 to say 95% (Use dependent obviously) or "oh it seems to charge faster from 90% and up).
(This is all explained in better detail in that same webpage).