It's hard to tell what a bunny's personality will be. At the shelter, I see a lot of bunnies. Some are nice, some are mean. They are all fixed, except for the ones that are too young (which is rare). I think being unspayed for a long time does increase cage aggressiveness, even if the bunny is eventually spayed (like my bf's Nethie Frida who was spayed at approx 3yrs of age). However, how the bunny is handled from the time they are young onwards is also a good indicator of future temperament. We get a lot of bunnies at the shelter that have been ignored in a backyard hutch, set free, terrorized by young children who didn't understand how to take care of them, etc, so they often have bad attitudes. Strangely, the bunnies that were born at the shelter (or in foster care) are usually nicer than the ones we get as adults (set free, seized for cruelty/neglect, or surrendered for "no time" or "moving"). I think being treated with love, respect, and bunny-savvy hands is one of the biggest factors in producing a loving adult bunny. The ones born at the shelter are also spayed as soon as possible, ie 6 mo or so, and many of the others aren't spayed until age 1-2, so that may be part of it.
With my own bunnies (and the bf's), the meanest one is Frida, who can be very territorial and nippy, especially when held. She is not trustful of people. She came into the shelter as a stray at around age 3, so she not only had bad experiences with people (they set her free), but she had to live on her own in the wild, and was spayed at a later age. Our sweetest bunny is Benjamin, who was rescued at around 5mo old, and neutered shortly thereafter. He has been a sweetie since day one, and we think it's at least partly because he's been handled from such a young age. Tony can be a brat, and he was surrendered and neutered around age 1, and Muffin (mostly a sweetie) was a backyard breeder's bunny surrendered and spayed around 8mo.
I guess what I'm trying to say is that a lot of things go into a bunny's personality, and hormones are just one of them. In my experience, the sooner the bunny is spayed/neutered, the better their temperament will be. However, being treated well by people, especially early in life, will help.
Is that your bunny in the avatar? Cuz it looks more like a lionhead than a French Lop.