As a current DM for another agency, I'll add in my two cents for consideration. Short answer....unless you plan on working as a DM or assisting instructors with classes, skip the DM training and spend your money on something more worthwhile if you're looking to hone your skills better. If you're not planning to be a working DM, either go a Master Scuba Diver (MSD) class, which is nearly the same thing without the liability and a little less of the business side of things. Either that or consider a GUE Fundamentals (Fundies) class. If you really want to dial in your skills, that's the way to do it. And just dive as often as you can.
As someone else mentioned, Rescue is a great class for you to take to prepare you for when your daughter is ready to dive. It teaches more than just how to rescue someone. Not sure what PADI's Rescue Diver course entails, but the two I took (NASE and NAUI Advanced) focused a lot on diver awareness. Not so much yourself, but your buddy and other divers. It teaches you how to recognize potential issues in other divers at all stages of a dive (both in and out of water) to prevent incidents/accidents from occurring. And it's a lot of fun!
I'm not certain how old your daughter is, but judging from your initial post, I'm assuming she'll get certified at 10? That being the case, after you've taken Rescue, consider taking a Solo Diver course. It's actually the next course I'll be taking myself and here's why. No, not so I can do dive by myself. As a working DM, I sometimes do that anyway. Maybe I'm swimming down to a training platform and tying off a float, or maybe I'm looking for a student's dropped mask/fin/etc. My reasoning is more important than that. As a DM, and this applies to diving with your daughter and me with my 10 yr old son who finished up his open water two weeks from now, I'm usually essentially diving solo. If you think about it, I'm constantly diving with new students that really probably wouldn't be able to assist me in an emergency situation. Same with diving with my son. Yes he'll be a certified diver and will have done air share drills, etc. but can I really feasibly count on him to help me if the SHTF? I want to say yes, but realistically, better to err on the side of caution and say No. It's my understanding that the Solo Diver course teaches lots of redundancy and how to be self-reliant above all else. So for that reason, it's almost imperative that I have that training.
So again, the short answer to your question is No. Unless you actually plan on working as a DM, your money and efforts are better spent on other training.