I had a cat divan I did last month and it took me and extra hour of vacuuming to remove the fur like you have there. It looked clean just from vacuuming, I cleaned it thoroughly and it looked great!
I "thought" it was ready to go. Told them it was done and the next day the technicians picked my work apart.
It was clean and looked great
but took another 15-minutes of vacuuming & a tape roller to get the fine hair off the skirts and in between the cords of the cushions. Dan showed me the hair and said would you want Jim Pemberton to see this?
That hurt!
On the bright side they said they homeowner cried when she saw how great it came out. Family heirloom, trashed by a cat that slept on it. No urine just fur and some food spots.