Why waste so much money funding them, one might wonder. Some in fact asked.
It's not like it's out of the good of his heart, and it isn't like he doesn't benefit. He had one condition and they saw no reason to object. To share their research and findings, to allow Obadiah the occasional chance to take dead or living superhuman bodies and have his people run tests, not to much avail as most of what there was to know the team already had on worked and gathered, so they think. Truth of it was the world of superhumans was much, much bigger than they ever could imagine and they've all but confronted a sixth of its races.
Another might ask what good does all the information do Obadiah. He does not hunt, so what does he want? Sheer curiosity, some figured. Terrifying as they were as alike a fascinating species.
Is that all there was to it then?
They share their information, does he share his, does he share his findings does he disclose what precisely he looks into?
It is not an oversight on Fury's part, and as he's tried and failed at infiltrating his facility and gathering a shard of suspicious intel, as suspicious as how secure he keeps his lab, alike Stane had failed at uncovering where the relics are taken has been told it's a day's worth of evaluation before they're destroyed safely, something he's of unconvinced as many despite Nick and the heads insisting is what happens. In his search he persists, then relents and conducts his own research, makes his own findings but cannot reach them, excavation sites he cannot breach relics he cannot touch or use, some amidst superhuman groups that he can't beat let alone face or track,
but the team can.