Using CMOS construction, the quiescent current
consumed by the MCP1825/MCP1825S is typically
less than 120 µA over the entire input voltage range,
making it attractive for portable computing applications
that demand high output current. The MCP1825
versions have a Shutdown (SHDN) pin. When shut
down, the quiescent current is reduced to less than
0.1 µA
If you are not using the shutdown function (the three pin package) then the quiescent current is a lot higher than some other parts. II'm sure that the Low Dropout Voltage: 210 mV Typical at 500 mA is a big factor in your choice. Designing is tradeoff and compromises.