Current monitor shows overload even for small load
The accelerometer datasheet states that the turn-on time is proportional to the values of Cx, Cy and Cz (Note 7 on page 3 pasted below)

(7 Turn-on time is dependent on CX, CY, CZ and is approximately 160 × CX or CY or CZ + 1 ms, where CX, CY, CZ are in microfarads (μF)).

This implies that these capacitors have to charge up at power-up, giving your circuit a short term inrush current. This is not at all unusual in a Hot Swap environment.

When the device is connected at normal power-up, these capacitors are charging at the same time as the voltage is rising, masking the effect of the output capacitors.

If you want to do hot swap, I would suggest using a device specifically designed for the task. A number of vendors have these, and this is a typical device.

HTH