Technically Bingo 'minigames' are the same casino slot games you can spin under the 'Casino' tab (by mechanics). If they are the same type of games it wouldn't make sense from an RG perspective to have different categories for them. If minigame is the same casino game it shouldn't be available for a person who has blocked 'casino' product.
Now, what we usually offer to customers who receive free spins but have their casino blocked is to exchange those free spins to bingo vouchers in equivalent value.
I have issued a 20RON bingo voucher to your account!