No DBing tenet has to be 100% pure and consistent. Remember, at its roots, the overall teaching here is "Do what works." So if you try a little kindness or even pursuit like that, monitor the results. If she responds positively, do it from time-to-time, IF it doesn't mess with your own detachment (that's part of "monitoring results" too!). If it messes with YOUR head, then try not to do much of it.
To me, pets are like kids (I have three cats and two dogs), and so this is almost a "co-parenting" thing to me, lol.
