Anyone else's kid refuse to eat at daycare but demolish food at home?

My 3yo has been at Bright Horizons for 2 months and they say he barely touches lunch. Then I pick him up and he's asking for snacks within 5 minutes. I'm paying $2100/month for this place and I'm starting to wonder if it's even worth it if he's not eating there. Has anyone dealt with this? Does it eventually click for them?