I started trying to multi-quote, but said fuck it.
I'm an electrical engineer that specializes on utilities and substations. Couple things here:
Your little baby 3kW standby can absolutely hurt somebody on the line. I agree that more likely than not, if the main was left open the generator would die or trip almost immediately. However it can still light up somebody close by before it trips. One cycle is 16 milliseconds, and it all depends on what point of the sine wave the voltage is at when you fault it to ground through your body. The longer the fault, the higher the probability of not having a fun time. I can't remember what the current required to cause cardiac problems is, but its well under .1 Amps. Remember that you aren't lighting up the lineman with 240V, you are lighting him up with whatever your single phase Distribution voltage is - anywhere from 1700V to 19.9kV, most likely ~7200V.
To the point of "trying to energize the neighborhood" - that is most likely going to kill the generator, but not necessarily - you might think the example somebody above gave for a split conductor being so unlikely not to worry about (which I would personally disagree, in the northeast we have trees fall on the lines and break shit all the time), also consider the protection schemes the distribution line has. They are setup to use (theoretically) coordinated protective elements to isolate the fault while minimizing outages. If everything works correctly (and it often doesn't, but whatever) when a tree hits the line on your road, the substation breaker doesn't trip out the whole circuit, it recloses to let the fuse at the end of your road clear it. If that doesn't work there is normally a series of pole mounted reclosers that do the same thing (that's what is happening when the lights go out and come back on 3-4 times). So depending on where you live on your circuit, your chunk of grid could be isolated to, say, the 4 houses in your subdivision, or you and your neighbor that share a driveway/road, or whatever. That'll probably kill your harbor freight 3kw generator, but your typical 16-22kw standby has more than enough power to energize a couple houses if its not peak-load. Consider how many houses you've seen tapped from the same 15 or 25kva pole mounted can - and they run like that all the time. I'm not saying the generator will be happy, or that it'll last long, but it'll last long enough to cause a problem.
Also consider that you guys are assuming somebody gets hurt from contact with an energized primary, but there is also a threat from ground faults. When something faults a line, the current travels into the earth and tries to return to its source, which is most likely the step down transformer at your local substation, but in this hypothetical back feed situation, is the ground rod at your transformer, via the ground rod nearest to the fault and the neutral wire. Well earth has a resistance, and you are flowing current through it, so now the earth itself at the fault isn't 0V anymore. Now it could be a couple thousand volts from wherever the fault is to some other point (depending on a lot of variables). That's known as a ground potential rise, and that's why big power systems and substation have copper ground grids. So it might not be the lineman in the bucket getting hit, it could be the ground guy getting shocked between his feet by a step potential. I don't feel like this is likely from a home generator from a lack of available fault current, but it is hypothetically possible.
And yeah, the lineman is probably going to treat the line like its live, and ground it out, but hey, sometimes people fuck up. And in my neck of the woods, we have outages so often the linemen don't go looking for generators. maybe if its like literally within sight they might go check that the service disconnect is out or that a transfer switch is involved, but I've never seen anybody get puffy in the chest about it pulling meters unless somebody really earned it by being a dick or unless there was an emergency situation happening.
The most likely thing that is going to happen if you leave your main on with a generator running that somehow doesn't trip out, is that when the grid comes back it is going to violently try to put your generator on phase and on frequency, and its not going to like it.
That being said, plenty of people still make suicide cords, and I'll admit I made one winter trying to make due with what I had in the middle of the night. And if you do it right and isolate things correctly you really aren't putting people in imminent danger, but that doesn't make it a good idea. Transfer switches are cheap and make life easier anyway. Or if you like back feeding a receptacle, they make interlock kits so the main and branch breaker cant be on at the same time.
TL;DR
Yes a generator can hurt somebody on the line.