Note 4 at Lu 13:26: These people were claiming salvation by association. They didn't cite any commitment or faith on their part as reason why the Lord should accept them. They mistakenly thought they would be saved because they had been in the presence of the Lord.

Likewise, many people today think that going to church and associating with Christians will provide them with salvation. Some people think they are Christians because their parents were. But salvation is having a personal relationship with the Lord. People cannot inherit salvation through the natural birth. "Ye must be born again" (Joh 3:7, see note 2 at Joh 3:3).