This game is dead in the sense that you can't just hop in and find multiple servers to play on at any time of the day. JoF is the main one that consistently semi-active, with a handful of others popping up on certain days and times. Most groups schedule when they get on to play together nowadays. If you're not seeing any servers, that's due to the master server being down and you should use OpenJK, TaystJK, or something similar to be able to see servers in the server list.
JKA and JK2 activity has always been declining steadily over the years. We saw a big bump with The Force Awakens release but that died off pretty quick, not because the movie was bad but because people come back to get their nostalgia fix and then get bored and move on to other games. Used to happen when the game would go on sale on Steam, there'd be a bump and then die off after a week or two.
It's been over 20 years now. The modding scene is still alive and well, we still get plenty of new mods submitted here with many being worked on, but overall people just don't sit and play JKA all day every day anymore. Most of us are in our 30's and 40's now, with limited time to game, and with how many games are out there most people would rather try new ones rather than stick to one.
tl;dr - Yes activity is very low but not completely dead, use OpenJK or TaystJK to see servers if you don't see any