You are basically wrong in ignoring loss. Loss is the only limitation to the power applied to a passive filter. If the current is too high, it heats up or melts the L wires, or breaks down the C by an overvoltage. Active elements do have lower limits due to their design. Amplifiers have P-1 dB limit to their linearity.
On the other end of the dynamic range, active elements generate noise power which is higher han that of a matched resistor. On LC filters, only their loss resistance generates noise while reactive elements do not.