Other than good fun and a bit of practice any of that serves no purpose in your pursuit in a flying career or obtaining a licence.
However apart from being a legal document and at times needed to review what has been happening when applying for ratings etc, I also enjoy reading back old log books and entries for the heck of it. Bit of reminiscing and hankering back to the old days has never hurt anyone.
So for that you may want to 'log' them. Just keep them in a separate logbook.
FD