I think the correct answers are sort of, and yes.
To explain I am going to give a little detail about what "cauliflower ear" is. I am not familiar with your background with anatomy, so if you are unfamiliar with any of this, or you need more explanation let me know.
The "cauliflower ear" deformity is really not so much due to "swelling" like an injured muscle but the separation of the perichondrium (outer sheath of the ear cartilage) and the cartilage of the ear (in this case elastic cartilage). The layers separate due to trauma and blood fills the space between them (as you doubtlessly know). During healing the inner cartilage usually thickens a bit and some cells die and calcify. The perichondrium basically grows itself new layer of cartilage, and the blood is slowly re absorbed. It is this slow re absorption of blood that causes most of the problem.
Cartilage is considered to be avascular (not supplied directly by blood vessels). This means that the trapped blood cannot be shunted off as quickly as it could in the case of injury to vascular tissue, (think of how quickly a bruise on your skin, or even a deep muscle bruise goes away compared to how long your ear was swelled). As the blood is slowly absorbs the perichondrium contracts on the new layer of cartilage that it grew, this causes the tissue to buckle leading to the "cauliflower" appearance. Because the blood stays around taking up space the perichondrium, with its newly grown cartilage, and the inner cartilage do not heal together. Instead fibrous tissue fills the void.
The reason I typed all of that out is to make it clear how and why cauliflower ear occurs and how it heals. It makes sense that because the perichondrium and the cartilage do not heal together properly, that the injury is more likely to re-occur (or more properly spread) when the same stresses are put on it. This also agrees with what I have seen personally, and heard about anecdotally, that cauliflower ears often get worse. Of course the other normal parts can also be injured when wrestling (otherwise it would never happen in the first place).
You did not state what you did for ear. Usually the treatment is to drain the blood with a needle, and to keep blood from re-infiltrating the space between the cartilage and perichondrium. This is best done sooner than later. I think that the guideline is to get it treated within 5-7 days, but treating cauliflower ear is out of my lane so I am going by my notoriously "steel trap like" (archaic, cruel, prone to rust) mind and could easily be mistaken. Regardless, I think it makes sense to be extra vigilant about wearing your head gear and to get any future injuries treated as quickly as possible.
I apologize for the long winded post. I also hope I did not come off condescending. The way you wrote your question seemed to indicate that perhaps your doctor, or whomever you saw about your injury did not really give much explanation.
I know that several of the regular posters on this board have very impressive wrestling and/or grappling pedigrees so hopefully a few of them can share any worthwhile tips on preventing cauliflower ear.
Finally, caveat emptor, I am not your doctor, and please do not take any of the above as a substitute for one on one medial advice.