How did this become about LH, BH a d LH have very different bonds, LH are more like siblings IMO, they've had a strLNG bond since childhood and they're the type of friends who can go a long time without seeing each other and still be best friends. With BH they're more circumstantial. They're the only ones left so of course they're gonna be close, and if you think about it even in the earlier seasons they only got close because of being roommates, and then whenever BP were fighting Brooke would run to Haley.
I think the biggest difference between the two for me as a Haley fan is that when Haley is going through something bad, she goes to Lucas. She doesn't hesitate to open up to him, there are many examples of this from S1, S2 finale, S3, S5 with Nathans injury, even in S8 she chose to write him letters to express her feelings about her depression instead of going to someone else in person. Ultimately I would say that yes she and Brooke are friends right now, but Nathan and Lucas are her closest friends.