Currently all fission reactors have a common safety problem: their fuel has to be very nearly critical. More precisely, there are 2 types of criticality, delayed criticality and prompt criticality. Prompt needs a higher concentration of fissile material than delayed, or delayed needs a higher amount of moderator (like graphite rods) than prompt. In any case, you absolutely don't want your reactor to become prompt critical. It did happen at Chernobyl, but I think you don't want to be in that company.
All reactors need to be just ever so slightly above delayed criticality some of the time. You can think of it as the R0 for Covid. When R0 is above 1, the disease spreads exponentially. If it's below, it dies down. You want it at a constant level. In this case "disease" is fission. You need R0 to be slightly above 1 a bit of the time, and slightly below 1 some of the time, so the fission keeps going, but does not go out of hand. The thing is this narrow band around 1 needs to be really, really narrow. We are talking 0.999 to 1.001 or so. Why? If for Covid a generation is about 3 days, for nuclear fission, a generation is about 1 millisecond (delayed fission, not prompt one; for that one, a generation is about 10 microseconds, which the funny guys at Los Alamos called "one shake"). If you have an R0 of 1.01, then after 1 second (1000 generations) you get 22000 more fission, and after 2 seconds you get half a billion more fission events than at time 0. That looks an awful lot like an explosion.
Keeping the R0 in a very narrow band is not that easy. It is for sure doable, and that's how all reactors work. But the specter of R0 going to 1.01 is never that far away.
But a fusion-fission reactor can achieve just that. The fission part of the reactor can be kept well below R0=1. You can keep it at 0.98 for example. And then you need to provide an extra 2% of neutrons coming from the fusion part of the reactor. If anything goes out of hand, you just shut down the fusion reaction, and the fission reaction dies down right away.
[1] https://en.wikipedia.org/wiki/Nuclear_fusion%E2%80%93fission...