I'm thinking along the same lines. All three games are arcade shooters, but I can see myself playing Destiny for much longer than another Halo or Titanfall.
My impressions of Destiny have it as a less cartoon-y and over the top version of Borderlands. Halo is...well, Halo, and Titanfall appears to be a twitchy COD style shooter with mechs.
They are all FPS's but I wouldn't call any of them "arcade shooters." That phrase makes me think of something like Area 51 (or maybe even R-Type), games you would see in an arcade.