Would you have any reference of why it matters the number of people doing something for some to engage in something nefarious? I would expect to happen no matter the number of people.
I feel it is more connected to the culture (for example I would expect to happen more in a hierarchical culture than in an egalitarian culture, or more in a believing culture than in a critical culture).
it happens no matter the number of people. but if you create a directive to dump more people into science than the capacity of society to produce scientists, (and there isn't an aggressive system to cull fraudsters) you will wind up with a linear increase of fraud/bad science, and a superlinear negative effect.