There are few real accidental discovery's in research - there has always to be some foundation, the right person, the right time.
Flemings discover was, in large part luck, however it was his observation and questioning of what was happening, in the petri dish, which eventually resulted in the discovery of penicillin. It is entirely feasible that another, more conventional researcher, may have binned the dish, as just another contaminated /spoilt experiment.
Fleming saw something, that could have been a spoiled experiment, but unsteady his mind went off on a tangent and he questioned what if ???????
I only used Fleming as an example - there have been others, often derided by their peers, for not conforming to doctrine, just as the "knockers" on this Forum refuse to entertain, even the possibility, that there may have been a breakthrough, by a small research group, rather than the hugh government underwritten activities elsewhere.
Yes "divergent thinking", or "thinking outside the square" is part of going off on a tangent - not being a slave to doctrine is also a large part of it. As I mentioned earlier there are those who habitually go down this track and those who suddenly have an inspiration, possibly a one off.
The French lost to the Germans in WW2, because the Germans didnt follow the rules and went around the Maginot Line, rather than make the expected frontal attack.
Tangential thinkers can be disruptive, as noted, they can also be the expression of genius.
Only an arrogant fool, is so dismissive, as to not entertain even the possibility of the subject of this thread ๐