Am I being paranoid?

[Yorky]

...to sew a name tape into DSs coat hood (zips on) as well as into his coat?

If I don't he will mess with the zip and lose his hood won't he? :(

No not paranoid

Not paranoid - having rummaged in the lost property box at school I can tell you there were several hoods in there.

I do it.
Anything removable gets a label.