I think what you're referring to is the ability to grind. My experience is that this is more a mental matter, even though there definitely are people who are more explosive and those who are naturally strong but not fast.
If you're explosive, learn to grind with maximal weights. There probably isn't a better way to do this than the Max Effort system in Westside Conjugate training, apart from maybe high rep squats with as much weight as you can handle.
If you're naturally strong but slower, train to be explosive. There are a number of ways but I think pausing your lifts at the bottom is hard to beat.
It is never a good idea to deliberately train to move weights slowly. The aim is always to move them as fast as possible. However, learning to keep going when the weight starts to feel heavier and you slow down from fatigue is very important. That just takes balls and work capacity.
The only thing to be wary of is making sure your technique when fatigued doesn't deteriorate to a dangerous extent. That's why you generally never want to see someone who is still learning their technique keep working when bar speed slows down significantly. That's a surefire sign that fatigue is kicking in and technique is about to go to hell.