Trust me the narrative helps in 10 years time. It's easy doing the peer review and coming up against some confusion, as you can always ask the designer at the time to clarify. Often this is for your own benefit/understanding and they wouldn't go back and amend the calculations on record.
In 10 years time you don't have this luxury, you're left with numerical gibberish. Trust me sometimes you cannot even tell what people are even checking, maybe its obvious if you've been balls deep in the job for a year, but as the reviewer looking in from the outside, if you ain't explaining things you ain't doing design right.
I was always taught the calculations should tell a story, write as much as you need to get the point across. Asking the reader to make leaps of understanding or interpret numerical gibberish is not engineering.
A wise engineer once told me the actual calculations are almost secondary to clearly outlining things like loadpath, design philosophy, etc. If the load path is clear any engineer worth his salt should be able to prove it works. If the load paths are dubious and the calculations don't explain the 'why' then your life as a reviewer gets hard. If you step back to reviewing it independently often you simply cannot justify what has been done using good engineering judgement. Peer reviewers are not mind readers, not all engineers were created equal.
I feel these days these things, being the essence of good engineering are lost on less experienced engineers, in the sense that at the first sign of trouble they create some elaborate computer based calculation without really explaining (using words) what they are even doing sometimes.