It is hard to say, and varies from individual to individual.
Further complicating the issue are types of gains. Specific gains in fast twitch fiber are extremely productive, gains in sarcoplamic hypertrophy, which are still gains in hypertrophy, are useless for the PL'er except for the added leverage increased mass provides.
Based on absolutely no scientific evidence, as there has never been a study done comparing the two, I would say they are of equal imporatnce. If the fibers are not sufficient to do the job, no matter how strong the signal from the motoneuron, not a whole lot will happen. You can send signals all day long, but if there are not enough receivers (fibers) or the fibers are not sufficient to the task, nothing happens. The reverse is true as well. As in most things, some sort of balance must always be struck, but the balance point is different for everyone.
Furthermore, it is complicated by training deficiencies as well. And nutritional deficiencies are included in this. There are always things that we should have done in the past that are limiting our abilities in the present. Past training mistakes, micro or macronutrient deficiencies, injuries, etc. all keep us from coming close to our genetic potential, so until optimization of training and diet is every truly achieved, the best we can do is to say 'this is what we think is important at this point.'
Some athletes will achieve an incredible strength:bodyweight ratio, some will be as big as a house and lift a freakin' bus. The first athlete will have, as a general rule, better CNS/PSNS optimization, where as the second obviously has greater hypertrophy, but is not as strong, pound for pound. Both could have done things differently, and probably have done even better. Both probably still can progress, but have limited time to do so before the aging process takes it toll, but even this is getting easier to work around, to a degree.
There are gender differences as well, but I am not going to get into that right now.