Has it been proven if having less team characters recruited DOES reduce your terminus weapon chances?

As the title asks. The theory apparently is that each chance of rolling a terminus weapon still counts on unobtained characters. So if the roll lands on an unobtained character then you simply won't obtain the weapon at all.

Alternatively, if the roll doesn't apply on unobtained characters then you'd have a higher chance of obtaining the weapon you want by NOT recruiting more characters.

Thanks!