The phrase "a persistent trait of" is correct and usable in written English.
It can be used to describe a characteristic or quality that is consistently present in a person, group, or thing.
Example: "Her kindness is a persistent trait of her personality that endears her to everyone she meets."
Alternatives: "a constant characteristic of" or "a recurring feature of".
A more persistent trait of Mr. Bush's responses was his tendency to talk about foreign policy in the most general, well-worn terms.
It has been suggested that sleep abnormalities would represent a persistent trait or vulnerability marker, rather than being a state dependent feature of depression in adolescents [ 19, 20].
Insomnia thus may represent in many a persistent trait that can be ameliorated somewhat by treatment.
The prevalence of hyperkinetic disorder (HKD) in school-aged children in the UK, characterised by the persistent traits of severe and pervasive inattentiveness, overactivity, and impulsiveness as defined by the International Classification of Diseases 10th Revision (ICD-10) criteria [ 8], is estimated at 1.5% [ 9].
THE triangle is testament to a persistent American trait: forgetfulness.
Being persistent is a trait of the eleventh Doctor, even when it seems like he's stopped pondering something, it's often still bubbling away underneath everything.
Maddy remembers it now, that persistent, childish trait of hers.
Throughout Railtrack's existence, the management showed persistent traits - a contempt for engineering wisdom, and a steady refusal to confront the true decrepitude of the railway that they were running into the ground.
So the avatars, called rigs, are extremely varied in both looks and abilities, and customisable in terms of persistent traits – there's your standard heavies and assassin-type options, but also the "FTL", a character using experimental weaponry, and the "Synaptic", a robot soldier that can shift its posture to run at pace on all fours.
Oddly that is one of its most persistent traits.
