Need help with Regrowth

Hi I need help with my regrowth. I had previously had all my hair lightened up (single process) to this shade. Then my roots grew in so I went to the same hairstylist. Instead of just doing my roots, he dyed all my hair to a dark brown shade, then lightened it all at once to this shade.  But it seemed to damage my hair, and I had alot of tiny blonde frizzy strands that I eventually cut out.   I am now in need of my roots lightened to match the rest of my light brown hair.  But I dont want to do the same procedure of darkening all my hair, and then lightening it all again.

So I am wondering can the colorist just  lighten my roots to match the rest of my hair as best as possible. By the way, this light brown/ copper shade was done not using any bleach from what I was told.  Can it be done? Or is there any other methods?  My hair is fine in texture, a soft black shade, and it doesn't seem hard to lighten it. I plan to tone the hair afterwards to a light brown, or auburn.  Any help would be appreciated thanks.