LCL filters are frequently utilized in grid-connected inverters because they provide compactness and strong harmonic suppression, but their tendency to resonate creates stability challenges that must be mitigated. This paper compares conventional active damping, typically achieved through capacitor voltage feedback, with a frequency-selective strategy based on the Non-Ideal Generalized Integrator (NGI). Traditional methods are straightforward but lack selectivity and may introduce undesirable phase delay near resonance. In contrast, the NGI approach delivers a tunable, resonance-focused response that increases phase margin, modifies pole-zero placement, and achieves stronger suppression of oscillatory modes. Analytical evaluation confirms that NGI improves transient behavior, reduces overshoot, and sustains robustness under grid impedance variations. These characteristics make NGI-based damping a strong option for next-generation inverter applications where precision, adaptability, and reliability are required. Future efforts will prioritize experimental validation and the development of adaptive tuning methods to support its practical implementation.