A 6.5 gallon bucket is the standard size for most manufacturers & thus home brew shops & home brewers. A 5 gallon batch in an 8 gallon container that isn't making a ton of co2/blow off can be in trouble. I can get that sort of thing in my Cooper's micro brew FV if I do only 19L (5.016USG). It is a TTL of about 40L of space,so 19L is a little more than half full. A lot more so in a cavernous 8G vessel. That's a lot of head space. 3 gallons doesn't sound like much till you take into account the shape of the vessel. Shape can add more head space.
The last time I did a 5G batch in my Cooper's micro brew FV,it almost didn't make enough co2 to keep the surface from getting infected. Not one bubble the whole time with nearly half a fermenter of head space.
I'd rather rig a blow off & be safe then worry about a large head space not making an infection. Why am I worried you may still wonder?? Because the co2 is NOT pushing the o2 out; it's mixing WITH the o2 and litterally absorbing it. It does this to the point of pressure exceeding that of the head space & the airlock "vent" bubbles.
Interestingly enough,you can compress co2 & o2,but you can't compress water. When compressed,liqud in the fermenter will find the path of least resistance,using the gasses in the head space to blow off either the airlock,lid,or both to releive the pressure on itself.