Having found the codes for the BDP-1 and the BDA-1 are about the same, this is a useful combination for me, given (a) how incurably lazy I am and (b) where my equipment is placed.
My Logitech Harmony allows me to program an activity, which is this case allows me to turn the BDA and the BDP on and off simultaneously. (To date, I haven't found the BDP-1 listed as a separate Logitech compatible device - if anyone has, please let me know.)
I use mPad to control all the other playback functions. However, because I don't use the my iPad exclusively for mPad, sometimes it is more difficult to pause or stop the BDP-1 with mPad if I need to answer a phone, or my wife has come into the room to do - you know - wifely things - I find reaching out to pause or stop the BDP-1 is the easiest thing to do.