They do at least accept that the decision is contentious, and the benchmarks you've linked are with an older Core i3 against an FX6350, rather than the Haswell v. FX-6300 they discuss in the budget rig - a faster i3 v a slower FX-6 could be pretty close. Plus they give other considerations (although I'm not sure "no known upgrade path" is a valid one the way Intel have been changing sockets recently) like power consumption and platform features.
Personally, I'd recommend the FX6300 every time at the minute, but the i3-4130 is at least sensibly priced and presumably competitive, particularly in the many older games that *don't* use many threads (then again, older games are unlikely to need that much CPU horsepower anyway). As TR say, the AMX platform is very long in the tooth, the chipsets aren't modern (
AFAIK the 900 series are just rebadges of the 800 series?), and Intel still win the straight line race by a mile. For longevity, I think AMDs extra cores outweigh those facts, but that's more of an opinion than an unassailable truth....