I would not call those circuits "latches". They do not latch, they are just switches, which depend on the ^SHDN input. (I assume a uC output).
It is also not clear where the "EN" signal is going to, If that has a too low impedance, then Q2 will never get enough voltage to open the switch.
Also, Q2 may hae some leakage current (depending on temperature, etc) and this may open Q1 a bit. A resistor between base and emitter of Q1 will allow for some leakage current through Q2.
Have a look at the ubiquitous ESR / Transistor tester circuit. It is a design similar to yours, but it has been "well tested", as millions of them have been built.