The article doesn't seem to mention this at all, but Latin definitely lives: it's called modern day Romanian. There are many differences but if Latin survived anywhere into modern times it would have to be Romania. I had some Latin in high school and that came in surprisingly handy, much more so than in other Latin derived languages.
Using your way of putting it I think all Romance languages have a legit claim to "being Latin". [I seem to recall reading that there were time periods in which all the local languages were still casually called "Latin" while being quite distinct.] Some are more conservative than others in terms of preserved phonetics or grammar etc. But none of them "are Latin", and yet all descended from it quite naturally. Is Roman…
For example, surely we could see Spanish "luna" as just closer to Latin "lūna" than the Portuguese "lua" is, and Spanish "consonante" as closer to "cōnsonāntem" than Portuguese "consoante" is. (But that doesn't make Spanish as a whole closer to Latin than Portuguese as a whole... but it's possible to imagine a language typically being more conservative in some respect, having fewer sound changes applied and so on, than another language.)