As we learned last round, massive doses of radium also work, if you don't mind ridiculous toxin damage.
If you're referring to the round I was in (where the disease turned people into monkeys), then no they don't.
I was the skrell who took the radium to be cured, thinking it would be similar to tg's poisoning where you just chug some chems and get over the side effects. That's doesn't seem to be the case in bay.
The poison appeared to stay in my system pretty much forever. I was the chemist and was able to consume hundreds of units of anti-tox and hyronalin but my round was effectively crippled anyway. I could barely move because the vomiting from radiation kept my hunger level in red and would paralyze me when it happened - similar to tg's appendicitis. Plus, I kept getting massive spikes of tox damage.
This lasted for a long time. Certainly long enough for people to go from initial infection to becoming monkeys while I was tied to the chem dispenser making pills for myself over and over. Eventually I got hit with a particularly bad spike and died so fast that no-one was able to help me despite this being in the chem lab and a borg seeing me fall over and calling for help on the radio before I even entered crit.
Realistically, you would be better off advising people to kill themselves and be cloned rather than take radium. It will probably come to the same thing anyway and will get them back to playing much faster. It's a shame Bay doesn't appear to have tg's upgraded autocloner.
Looking at the wiki, the correct procedure seems to be to infect a monkey, give it radium, then get antibodies from it when it's cured (and presumably breed them in the virology machine if you can)