You are trying to force ground to be equal to Vin. It does not work until Vin is set to 0.
In simpler words, this circuit is not functional as gain boosted amplifier, rather as open loop two stage amplifier (comparator, comparing Vin with ground)
The strange idea popped as I saw Fig. 9.26(a) in "Design of Analog CMOS Integrated Circuits, 2nd" by B.Razavi.
I am wondering if the transconductance of M1 I drew in #2 can also be boosted by A1 just like the reference book indicates? (Although it can't be called as typical "gain boost" now)
And will the circuit work? (Even if it's an open loop circuit)