If you refer to someone's inconsistency, you are criticizing them for not behaving in the same way every time a similar situation occurs.

If there are inconsistencies in two statements, one cannot be true if the other is true.
We were asked to investigate the alleged inconsistencies in his evidence. [+ in]
...the complete inconsistency of his argument.

Cele două variante de traducere oferite se referă la afirmații, nu la comportament.

Cf. Dex

Inconsecveță = lipsă de consecvență în idei, în acțiuni
Discrepanță = Nepotrivire sau deosebire flagrantă între lucruri, aspecte, fenomene
Neconcordanță = dezacord, discordanță, discrepanță, disonanță, nepotrivire, stridență