In the second example CH3COOH undergoes the same transformation, in this case donating a proton to ammonia (NH3), but does not relate to the Arrhenius definition of an acid because the reaction does not produce hydronium.
ɪnðə sˈɛkənd ɛɡzˈæmpəl sˌiːˈeɪtʃ θɹˈiː kˈuː ˌʌndɚɡˈoʊz ðə sˈeɪm tɹænsfoːɹmˈeɪʃən, ɪn ðɪs kˈeɪs doʊnˈeɪɾɪŋ ɐ pɹˈoʊtɑːn tʊ æmˈoʊniə ˌɛnˈeɪtʃ θɹˈiː, bˌʌt dʌznˌɑːt ɹᵻlˈeɪt tə ðɪ ɚrhˈiːnɪəs dˌɛfɪnˈɪʃən əvən ˈæsɪd bɪkˈʌz ðə ɹɪˈækʃən dʌznˌɑːt pɹədˈuːs haɪdɹˈoʊniəm.