My analysis is a bit different.
If AESA is an LPI and if LPI uses FMCW (Frequency Modulated Continuous Wave). But FMCW radar DSP (Digital Signal Processing) is unable to distinguish between the real radar echo signal and a jamming signal with identical modulation when it detects enemy aircraft and enemy aircraft is using jammer to jam radar (meaning the AESA or LPI is getting jammed). In such case, the jamming signal receives the radar processing gain, which allows it to penetrate LPI radar DSP and alter the detection result. This makes FMCW radar vulnerable to repeater jamming. This process is done through "Repeater jamming technique" which requires the victim radar (AESA or LPI) parameters be available in the system database through ELINT (say in peacetime). Then not only LPI gets detected but also jammed. so is still an LPI Radar or will it be an AESA and not an LPI ?