do you limit their use with it?

DS1 has a very strong attachment to his loveys (A&A blankets, A&A security blankets).

He's only used it for sleep, but since he dropped his nap a few months ago, he's definitely wanting to bring the blankets out during the day time too.

I have one at his school for "emergencies," my mom freely lets him have it when he's over at her place, at home he's usually good about leaving it in his room.

I'm not sure if or when we should get rid of them, or when we really buckle down for only nighttime sleep use. (This coming from a 32 yo who still sleeps with her "lovey.").