I'm financially independent of DH, yes, in that I could support our lifestyle quite comfortably if DH left or died, or whatever. I might have to move, or remortgage the house in order to give him his "share" in the event of a split, but we have plenty of equity in it, so we could afford to do that.
We have a bit of an odd arrangement anyway, in that all of our living costs, including mortgage, are paid for from my salary. He pays for his own stuff, sends money to his family overseas and saves the rest in both our names. It probably sounds strange to some, but it works for us! I earn a lot more than he does, but he is better at saving. I still have more disposable income than he does, even after paying for everything, but that's partly his choice - my salary goes into a joint account that he doesn't really use, but he could if he wanted to.we both save quite a lot anyway.
For me, though, real financial independence isn't about DH, it's about knowing that I could get by if I lost my job, lost DH and didn't have access to state support. I'm nowhere near that position yet, but I do have one friend who is - no silver spoon in her mouth, just very careful financial planning, wise investments and real frugality! It's a great situation to be in if you can do it!