Well, the claim is repeated in the Hexus article and is therefore presumably in AMD's press release, and it would be foolish of them to include that if it wasn't true.
Full JPR reports costs $1500, and will almost certainly land anyone who distributes it without permission in hot water, so I'm guessing not.
Fudzilla links to JPR's highlights of the report, but their interpretation of the publicly available figures is off; the table they describe as high end AIB market share is actually the total AIB market share. I assume the full report includes a more complete breakdown, which may well show that AMD's share of the enthusiast market is much higher. Without access to it we can't be sure; however it looks like enthusiast board shipments were less than 6M vs almost 40M total. That makes enthusiast AIBs only 15% of the market, meaning that AMD has plenty of overall share to be doing well in that segment.
The Fudzilla article makes a big hooha out of the supposed lack of processing power for Playstation VR and how AMD are out of line for claiming it as part of their market, but that ignores the fact that PSVR is a hardware-locked platform so MUCH easier to optimise for. It may not provide the same level of visual fidelity as a high end gaming PC, but it should still provide a fluid, low-latency solution with good optimisation. So that's not really a fudge by AMD - PSVR is absolutely a part of the addressable VR gaming market.
The other point Fudzilla misses is that AMD are talking about the total addressable VR market, not just the VR gaming market. So AMD may well be including all their GCN APUs in their figures, if they'll be able to address "entertainment, education, science, medicine, journalism and several other exciting fields" with them. We've already got a report of a Carrizo APU-based stand-alone headset, so that's not unrealistic, and those are fields that are potentially less performance oriented than gaming.