More Fact then opinion:
Explosive training can be very good for athletics.
Bar speed is helpful at times, other times it’s just PT’s over complicating something.
Basic strength should always be a foundation and primary goal, not bar speed.
While pressing builds strength the transfer to sports is not always there.
Your last two reps are supposed to slow down. If they didn’t you wouldn’t really be building strength.
Building explosiveness is done best with 40-65% weight.
My opinion:
Power cleans and Push presses are not good exercises to do for BJJ. Assuming your training is already putting your arms in excessively stretched positions those two exercises will only weaken the joints. If ever you take a few months off from BJJ then power cleans and push presses would be good to add for an 8 week cycle.
Leg strength can be built with squats, lunges, step ups and partial squats. Upper body strength pushups, bench presses pull ups if you can do a few sets of 10’s otherwise pull downs, rows, punches with bands.
Explosiveness:
Is a combination of speed strength, reflex, reaction time, and training a pattern. A pattern properly trained a million times getting faster as you can will seem a lot more explosive then it is because it’s natural. So the first thing you can do is drill your movements more, with more speed, then 100000x more.
Speed Strength goes to the 60% train in that range train fast try not to hit the absolute ends of your ROM and you can train it more.
Reflex is like drop jumps, clapping pushups, medicine ball catch and throws.