Solution 1:

Aura might work, as it has a generally positive connotation. There is also halo, though that might be a little over-the-top in this case, or the more neutral property.

Solution 2:

Here are a few options:

  • virtue
  • principle
  • reputation
  • character
  • acclaim
  • plaudits

Most of these were gleaned from a thesaurus entry for honor.

Solution 3:

You might consider the word "patina" as an option.

Solution 4:

Something along the lines of "mark of distinction", "status symbol", "noble bearing" seems to have the connotations you are asking for, but they don't fit your example sentence.

Do any of these sentences have the connotations you are searching for?

  • There is a quality of industriousness associated with rich people.
  • There is a continuing motion of industriousness ...
  • There is an outpouring of industriousness ...
  • There is a badge of industriousness ...
  • There is a mark of industriousness ...
  • There is a stamp of industriousness ...
  • There is a distinctive mark of industriousness ...
  • There is a distinctive stamp of industriousness ...
  • There is the presence of industriousness ...
  • There is the attribute of industriousness ...
  • There is an appearance of industriousness ...
  • There is an implied subtext of industriousness ...
  • There is an expectation of industriousness ...
  • There is an assumption of industriousness ...
  • There is an abundance of industriousness ...
  • There is a stereotype of industriousness ...