Yeah, even if you're willing to defend your competitor you will still need to screen your documents to see which needs to be sealed and which documents that are under an NDA with an unrelated party that can be excluded. An hour is definitely too short for this, even if you have 100 lawyers (because the bottleneck is you and your knowledgeable employees and your lawyers won't likely to know the breadth of third-party secrets).
On the other hand, you won't be compensated (fully) after this. You may be able to recover your attorneys' fees in some cases but your transportation costs won't (it'll be only a token fee set by court).