LTC1968 and AC coupled input

I am simulating the LTC1968 with an AC coupled input.

When I run a transient simulation with external DC voltages at 0 or V2 = 0 initial condition (see schematic), I see that V2 node takes tens of seconds to reach 2.5 V. As a consequence, the output of the LTC1968 takes tens of sencods to settle to the correct RMS value.

Is this behavior the expected one?