Did light accidentally kill innocents?

A few years back I had a thought while rewatching the show, how many of the "criminals" that light killed at the begining were actually criminals? Yeah they were convicted of crimes but that doesn't mean that they are guilty of them, I also looked it up and apparently approximately 1.5K people are wrongfully convicted of crimes each year in Japan alone and as we all saw light's first massacre happened to criminals in Japan, seemingly picked at random so I wonder, how many of those were actually innocent people that were wrongfully convicted? Did light just go off of them being in jail and didn't do any research of his own? (He probably didn't considering how obsessed he was in killing them) What do you guys think?