"coherent domain names that evoke trust and longevity"
Hmm ChatGPT might have taken it too literal. If you have one example of the desired domain the results could be more expected.
There are 4000 domains in the pastebin: pastebin.com/6Li7wNVK
Some of the picked domains in the end result:
EverSecureGuard.com
SecureMindset.net
TrustedFortress.net
SteadfastProtection.net
TrustedLegacy.net
EnduringProtection.net
EverSafeGuard.com
LifetimeShield.net
TimelessFortress.net
TrustedVault.net
EnduringDefense.net
ReliableRampart.net
TrustworthyStronghold.net
TimelessShelter.net
ResilientRampart.net
EstablishedTrustworthiness.com
SturdyAssurance.com
EnduringStability.com
TrustworthyLegacy.com
ResoluteFidelity.com
ReliableEnduringTrusts.com
SteadfastFamilyLegacy.com
TrustedProsperityHoldings.com
LegitimateHeritageHoldings.com
DurableGenerationalWealth.com
TrustedLongevityHoldings.com
SturdyFamilyTrusts.com
EndowedHeritageTrusts.com
ReliableLegacyWealth.com
EndowedFamilyLegacy.com
EnduringExpertise.net
Now I did make a short rerun of your query with adding in the sentence "The domain names should be short and a made up word". That yield different results:
pastebin: pastebin.com/yDxxJ9cE
Automated top picks (There are better ones in the bin I would think):
Stabilitum.com
Veritexa.com
Trustworthix.com
Integritonix.com
Synergeticz.com
Lumiterna.com
Civitixy.com
Pristiqo.com
Properssive.com
Veritablex.com
Reliancezy.com
Firmgroundz.com
Trustworthyx.com
Durativeness.com
Consistentio.com
Endurismo.com
Perdurify.com
Forticelyx.com
Stabilista.com
Resilientix.com
Lenovest.com
Trustovia.com
Durahaven.com
Soladur.com
Crestmoree.com
Vitalzonee.com
Continrax.com
Constalio.com
Firmivio.com
Steadlity.com
Impervaio.com
Mileniaio.com
Veritiaio.com
Consolidio.com
Invicticoia.com
Delphitoia.com
Prospereoia.com
Momentumia.com
Necessarioia.com
Potentiaio.com
Realisentia.com
Serenitio.com
Soliventia.com
Stalwartea.com
Trustworthly.com
Endurifyx.com
Longevizr.com
Perseverex.com
Durabexa.com
Sustaintia.com
Protengrid.com
Veritumo.com
Synerzos.com
Reliagora.com
Crestelio.com
Fidelitio.com
Corlocity.com
Veraciuth.com
Trustaine.com
Sincereva.com