[...] we were warned constantly about not biking on this or that road due to being robbed (we never encountered a dangerous situation except once with children raising a rope to try to stop us (be careful of this!))>
Ah yes, this is always the case in most countries, it is well-intentioned local advise but it usually comes from people who only have newspaper-experience about crime/danger.
There is that. But there are also unfortunately bits in parts of Lat Am which can result in an unpleasant experience for the tourist. There are locations in Peru, Guatemala, etc, where cyclists are quite routinely separated from their valuables by bandits. You need to know about this if you do not wish to be so inconvenienced. There are bits of Colombia where tourists are still kidnapped. Parts of Mexico are rather dodgy too, the bits infested by drug cartels.
Colombia is much safer than it used to be, but there are still some bits you don't go to that are run by militias, and the displaced population who have left these places is still measured in the millions. You do need to know where not to go to in Colombia.
I know a cyclist who went to one of the parts of Colombia you don't go to, and he got kidnapped. He managed to escape within a couple of days, he was lucky. One of the rare occasions where being a useless idiot (he wasn't very useful to the kidnappers) saved him from the trouble being a useless idiot had got him into.
I know another cyclist who went to another part of Colombia you don't go to, who realised what he was doing and took the precaution of travelling that bit on a bus. The other travellers on the bus insisted he get off the bus 10km before town as they didn't wish to arrive in town with a gringo on board. As he was cycling the last short distance, he went past dead bodies lying by the road side. He was advised at his guesthouse to eat early and stay in. He got up early in the morning to take a river ferry and heard shots being fired worryingly close by.
I know another cyclist who goes to Colombia frequently, and stays away from the bits you don't go to, which have fortunately greatly reduced in recent times. He has still had a gun pulled on him, but it was stuck out of a car door and he pushed the car door shut, cycled off, and they didn't follow.
Venezuela meanwhile now has a much higher murder rate than Colombia. It's difficult getting reports of the impact on tourists, because few tourists go there any more, in part because the fiddled currency etc makes it ridiculously expensive for tourists to go there, and because the place, being sovietified, has become rather dire for pleasant tourism like it used to be. But a work colleague told me that her brother went to a wedding in Caracas, and got shaken down by the army at Caracas Airport - they picked him up between taxi and terminal door, drove him offsite to a rough building in a dodgy part of town, put the frighteners on him, which all boiled down to extracting money off him if he wanted to catch his flight - he got back to the airport just in time and a couple of thousand dollars lighter. He'll never go back there until there are some big changes in society.