The key bit is the "larger doses" used sparingly there shouldn't be any issues. however I'm not sure how effective these meds will be used before exercise, I would be also be careful about using then in training, if it hurts enough to need them then in training then rest is a better option, pain is often a message to take it easy for a while, this is more so for those of us with a few more miles on the clock.
I can recall reading of problems related to NSAIDS in the sports medicine journals, there are people who take massive doses which can cause very significant issues, The occasional 200mg of ibuprofen is unlikely to cause much problem.