Hi atopic,
Welcome to the Mattress Forum! 
The information I found at foamonline.com in the description section correctly describes high Resilience (HR) foam – a density over 2.5 lb and a support factor of at least 2.4. In their ILD chart, they show that they offer their HR foam in ILDs of 15, 20, 30, 40, 50, and 70. This would all seem to be proper HR foam.
The information on the foamorder.com site lists the EverFlex V34 at 2.6 lb density with an ILD of 34, but they don’t list the support factor. I would phone to make sure it is 2.4 or above, as many foams as mistakenly referred to as HR when they in fact are only above 2.5 lb in density but they have a support factor lower than 2.4.
Regarding High Resiliency polyfoam (HR):
This is the highest grade of polyfoam and weighs 2.5 lbs per cubic foot or more. To qualify as HR it must also have a support factor of 2.4 or higher. This support factor is an important part of why a HR polyfoam has the qualities it does as it is made with a different chemical formula and has a different cell structure than the two lower grades. I would also encourage you to read the section on polyfoam as a support core section as HR polyfoam is one of the most mislabeled materials in a mattress … both in stores and on the internet. Because of its different formulation, it is more durable in all ILD’s from very soft to very firm and is suitable for use in any layer of a mattress including comfort layers. It is more expensive than the lower grades though so you rarely see soft HR foam in the comfort layers of a mattress except in those made by smaller local and regional manufacturers as it does not have the same profit margin as the lower grades that are sold with a “story” attached. Some of the best HR foams come close to latex and are good quality, have good resilience, and will last for many years.
I am not a big fan of the BBB for many reasons and you can see my thoughts about the BBB in post #3 and #4 here and points #1 and #5 in the comments here from another member and in post #4 here .
I didn’t find any discrepancies regarding their HR foam on their site, but I may have missed something.
I hope that helps.
Phoenix