I don't think there is any mainstream Android phone available that is of 12/13 Mini size. In fact there might not be a mainstream one that is smaller than the current base iPhone size.
Regarding your second one, I have some good news though: ASUS Zenfone 10 is smaller than iPhone 16 by 1.1mm x 3.5mm, Samsung S24 (base model) is 0.6mm x 1.0mm smaller, and Sony Xperia 5 V is only slightly bigger.
Regarding your first statement: yes, sadly.
Regarding your second one, I have some good news though: ASUS Zenfone 10 is smaller than iPhone 16 by 1.1mm x 3.5mm, Samsung S24 (base model) is 0.6mm x 1.0mm smaller, and Sony Xperia 5 V is only slightly bigger.