Originally Posted by Voiceless
^ Basically this. Isolated muscle training doesn't fully transfer to application. You need inter-muscular training for practical strength. Then, muscle strength is only the potential strength, technique exploits this potential. The better the technique, the more you can use of your potential muscle strength. And finally, on the mat you use different muscles (in relation) than in the gym. That's where americanfighter is right. Core strength for example plays a big role.
Technique is always more important than strength, strength and power training should supplement your techniques. How you strength train has a big impact. If you only ever lift big weights at a slow speed you will be incredibly strong at slow speeds i.e. useless. Likewise if you only train fast with small weights you will be fast and pack little to no punch i.e. also useless.