Recent College Grad and 2020 stimulus question

My son graduated from College in 2020.  I claimed his as a dependent on my 2019 return, therefore he didn't receive stimulus checks last year.  For the 2020 return,  he is filing and I am not claiming him as a dependent. Turbotax asked whether or not HE received the $1200 + $600 last year, we answered "No" (because he wasn't entitled to it since I claimed him).  The refund calculation increased by $1,800. My question is, is he eligible for the Recovery Rebate of $1,800 ? Must he have provided more than 1/2 his own support? Is there some other qualifier I should be aware of? Thank you!