As Catherine explains to Nelly in a moment of anguish after she accepts Edgar's marriage proposal, she "loves" Edgar. She then proceeds to describe what that love is, saying she loves him because
he is handsome, and pleasant to be with . . . young and cheerful . . . . And because he loves me . . . . And he will be rich, and I shall like to be the greatest woman of the neighbourhood, and I shall be proud of having such a husband.
Catherine says this is "as everybody loves."
In other words, Catherine does feel affection for Edgar, but it is a very conventionalized sort of love. Edgar is pleasant and can give her the comfort and status she desires.
This is a significant contrast to the way Catherine loves Heathcliff:
If all else perished, and he remained, I should still continue to be; and if all else remained, and he were annihilated, the universe would turn to a mighty stranger: I should not seem a part of it.—My love for Linton is like the foliage in the woods: time will change it, I’m well...
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