Unusual actual amulets with inscribed cartouches are beads, seals, scarab(oids), etc. since at least the Middle Kingdown onwards

Electrum pendant in shape of a shell L 3.5, W 3.5 Middle Kingdom
with the cartouche of Amenemhat III
© 2017 University
College London
#LDUCE-UC11329
Unscaled Picture

Glazed steatite seal
in shape of a duck
H 1.3, W 1.0 Dynasty 18
with the cartouche of Amenhotep I
MET #30.8.602

Carnelian wedjat eye
W 1.3, H 1.0
Dynasty 18
with the cartouche
of Hatshepsut
MET #6.7.159