You have a point. The HE560/T1 do have a hair more bass than the X2, but it isn't the focus or as apparent. It is a lot deeper though, which is why I think he'd like the overall warmer tone of those two. I do have a weird habit of forgetting that "more/quantity of" bass isn't the same thing as "deeper/quality" bass. The best open headphone for his tastes probably is the LCD 2. I'd recommend the HE400, but it does have less bass even though it is infinitely deeper in sub-bass.
But yah, I agree with you, he isn't going to get much out of these unless he just gets a closed headphone. He MIGHT like the ZMF Vibros (you might actually like these, but I'm not 100%. They do have more bass than the K712, but not exactly Denon or LCD 2 level) or the Mad Dogs (which I forgot about and they do have more bass than the X2 but less open.) His best bet is the TH600, as that is to the closed headphones as what the T1 is to open (as in, it is a semi-open headphone that is more closed than open and the T1 is a semi-open headphone that is more open than it is closed.)
Also, how much lower do you want to go than $1000? I've seen some on here for $900. Razordog has them for 1050 right now:
http://www.ebay.com/itm/FOSTEX-TH-900-Premium-Reference-Headphone-AUTHORIZED-DEALER-/201294969255?pt=LH_DefaultDomain_0&hash=item2ede1d79a7 . Honestly, I enjoyed the TH900 more than the TH600, but not as much as the D7000.