I’m not sure how consistent it is but the static binaries I have for btrfs-progs are about 2x larger than their dynamic counterparts. If you statically compile it only the functions actually used are included in the binary, so it really depends on how much of the library is used.
If it’s logs, there’s a package called log2ram - it’s designed for small form factor systems to reduce writes to SD cards but does apply anywhere you want to log but not hit disk immediately. It syncs logs to disk on a regular basis so you don’t lose much if the system crashes.