There are definite upsides to having a detailed written record of a code review, but in terms of enjoyment if I have some code to review I read though it, take some notes, grab a meeting room and have a discussion with the person that wrote the code. I find it far less tedious than having to write up my critiques in detail. Then the written review in the tool can just be terse reminders to the things we discussed.

I'm sure there are people that feel exactly the opposite, but it's worth trying.