At this point, no, when purchasing a plant, I don't care about parentage - yet. I am too new at this. Eventually, perhaps I will.
When buying seeds, yes I do. Because when I purchase seeds on the LA, I am buying them because of the cross - it is a way for me to get those expensive crosses into my garden.
Last summer I did a little bit of dabbing - just to see if I could. Purposely didn't record anything.. Also collected the seeds and some are germinating now. Again, just to see if I could. In the future, I will record the parentage. If I ever register anything, I will specify the parentage if I know it. To me, flower crosses, like recipes, are for everyone to know about. That's what makes them special. "Hiding" the parentage so that others can't reproduce that cross (I guess that's why some hybridizers do that, isn't it?) just shows arrogance.
It is interesting, because in the animal world (I have bred & raised cattle & sheep in a 'previous' life) one can not fully register an animal without knowing BOTH parents. Otherwise they are registered as a half blood, or not registered at all. Genetics has become huge in those industries, and being able to trace lines for generations is a big aspect of it. Granted, I am comparing apples to oranges, I know. But it has been interesting to me, to see the differences. ~Jan