This article makes sense as it holds to the mainstream view, as I understand it, that planets should be assumed to be brown dwarfs when their mass is under about 14x that of Jupiter.
The mainstream view is that (1) brown dwarfs have masses between 13 and 80 Jupiter masses, (2) brown dwarfs formed by cloud collapse like stars, rather than coalescing from dust in protoplanetary discs like planets, (3) after formation, brown dwarfs had deuterium fusion in their cores for the short period until that deuterium ran out. The article definitely goes beyond that: it makes the point that whether you use cloud collapse or deuterium fusion as the defining quality, the mass limits are murky and there is no easy way to determine if an object fits either definition.
The part worth to emphasize is that finding signs of either the formation process or the deuterium burning is very difficult, while mass can be determined from spectroscopy, so from a viewpoint of observation and cataloguing, a definition connected to mass is the most useful. (Just for perspective: there is a similar problem in the field of near-Earth objects. From the viewpoint of impact risk, what you would ideally want to know there is the mass of the object. But for most objects, all you have is its total brightness. For such objects, you have to assume an average surface brightness to calculate a diameter, and an average density to calculate mass. So NASA is mandated to find 90% of NEAs larger than 140 m across, but what it does in practice is cataloguing objects brighter than an absolute magnitude of 22.)
The exoplanet.eu catalog, however, will have many with masses over 25x and some as high as 70x. Mass, however, isn't the key dividing line as the rule since 1999 is whether or not 1/2 of the original deuterium has burned.
That site has a page
explaining its inclusion criteria. The criterion is a mass of at most 60 Jupiter masses plus the 1-sigma uncertainty in the object's mass; that is, if an object's mass is determined to be 73±13 Jupiter masses, it will be put on the list. For this 60-Jupiter-mass limit, they cite "Hatzes & Rauer, 2015". You can read the
abstract of that paper. This was a study of the mass-density distribution of exoplanets, which found no cutoff at 13 Jupiter masses, only at 60, and the authors argue that this cutoff is the only meaningful distinction. What does this mean for us? It means either that whatever the way of formation and whatever the scale of deuterium fusion at under 60 Jupiter masses, the density of the object (its most easily observable material characteristic) will be the same; or (less likely) that either formation or deuterium fusion only happen at 60 or above.
The NASA website, IIRC, limits exoplanet masses to about 25x, thus their catalog is notably less in exoplanet number.
Yes, the
NASA exoplanet catalog has a 25 Jupiter masses cut-off. Indeed the European catalog currently has 7,413 entries while NASA's has only 5,832; but the difference could also be down to access to the databases of different research teams.