I played the 2013 reboot and even though I can't say that it's a bad game, it just didn't click at all. It feels like a copy of Uncharted, but without any spirit in it, and it just doesn't work with a serious and even morose tone. It was an Uncharted but without the fun, if I had to put it simply. Just a generic "let's follow the bullet points of the Uncharted formula" game. So I lost interest for the rest of the series: even if the production values are here, it just lacks something to make it interesting and fun to play.
And what is the difference between the 3 games? They're all the same stuff about "she's not the Tomb Raider yet"...
To finish, even if it's not a "good reason", the exclusivity fiasco tarnished the image of the series quite a bit. The PS4 release of Rise was completely anonymous, and they just didn't build a good PR on the 2013 bases. They could have, but they blew the good image of the reboot, and I'm sure that we heard about the series too much for a while, but not for the good reasons. After a while, people just lose interest, and it became like "Oh, one more Tomb Raider news, great...".