I wish I could directly answer your question. I just got a WT-1a working with my D2x. I purchased it new from Cameta via eBay for $119. They seem to be dumping a pile of them right now. This might be a good option for your D2h, if the WT-2a won't work. I plan on upgrading to the WT-2a soon after trying the WT-1a.
------------------------------------ ------------------------------------ Jeff / Melbourne, Fl. Nikon D3, D70, S3 14-24 f2.8 24-70 f2.8 70-200 f2.8 VR 85 f1.4 105 f2.8 Macro 300 f4 AF-S 1.7X SB-800 Singh Grads and Filters - 2 Stop Hard Grad - 2 Stop Soft Grad - 2 Stop Reverse Grad - 3 Stop Hard - 3 Stop Reverse Grad - Vari-ND - Mor-Slo - Gold-N-Blue Polarizer - LB ColorCombo - I-Ray Hensel Porty kit w/ringlight, 2 heads & accessories Chimera Softboxes California Sunbounce reflectors Sekonic L-758R Kinesis Bags (Bag Nirvana Finally!) - Journeyman Pack - S360 Carry-On - Kinesis Belt System - Asst. Holsters - Various Pouches, Belts, Harnesses, and Accessories
I have the WT-2A. I understand the difference is speed in the FTP mode where it uses the g protocol instead of the b.
Now my grumble - If you get the wt-2a, be prepared for a fight to get it connected. I've used it for two weeks about a year ago and once connected, it worked very well. At that time, I had to physically bring the camera to Nikon for them to connect it. It took about two hours for the tech to do it. The tech told me to upgrade to Win XP Pro from the Home edition to avoid the problems in the future.
I upgraded the computer a few weeks ago. I tried to connect the WT-2A again and had to go to Nikon again, but not before wasting two hours on the phone with them trying to connect it. They spent about three hours with it having no success. I left with the need to install some software that is part of XP pro which allows the FTP connection and to buy a new PCMIA wireless card for my laptop. I'm still not sure my old wireless card doesn't work. After another two hours on the phone with Nikon, they were able to get FTP working, but not the ad hoc connection I wanted. They had ideas on how I could set it up, but quite frankly, I didn't have the energy to continue the pursuit. My wife uses the laptop to connect wirelessly in our winter home and I know that once she does, all the work that Nikon did to get the connection will be lost. If I had known it would be such a bear to connect, I never would have bought it.
I was able to setup my WT-2A without too much difficulty by following the instructions from the Nikon Knowledge Base article. However, you can also purchase a piece of software called ITP 2.0 that will automatically configure your computer and camera for ftp wireless transfer. Using ITP, you do not have to install the Windows XP Pro's ftp server component because ITP installs its own ftp server. ITP also includes the additional benefit of instant shot review on your computer screen.
Here is the link to the software if your interested.