Neutrinos with large self-interactions arising from exchange of light scalars or vectors with mass $M_{\varphi }\simeq 10\mathrm{MeV}$ can play a useful role in cosmology for structure formation and solving the Hubble tension. It has been proposed that large self-interactions of neutrinos may change the observed properties of supernova like the neutrino luminosity or the duration of the neutrino burst. In this paper, we compare the gravitational wave memory signal arising from supernova neutrinos. Our results reveal that memory signals for self-interacting neutrinos are weaker than free-streaming neutrinos in the high-frequency range. Implications for detecting and differentiating between such signals for planned space-borne detectors, Deci-hertz Interferometer Gravitational Wave Observatory (DECIGO) and Big Bang Observer (BBO), are also discussed.

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• General relativity
• Gravitational waves
• Neutrino interactions
• Supernova remnants