That depends on user's habits and on mode.
In mount mode /tce dir must be mounted read-write and is written to not only when downloading extensions but also when using functions of "tce-audit".
Personally I try to run backup frequently, to reduce risk of data loss.
Statistically I have probably accessed mydata.tgz as a literal backup to restore prior versions of selected files more often than running restore at boot.
I happen to hardly ever voluntarily run shutdown (I do use suspend).
In any case, if backup is written to disk at shutdown, then most likely it is not an unclean shutdown which would require a fsck before mounting fs read-write.