As many have rightfully said, tournaments are an easy and relatively cost-less way to get free raid gear and tons of credits and mats. I doubt anyone has serious objections to them on that front.
The real problem most people have is that tournaments make so many new OP toons essentially unavailable. Jyn, Shore, Chirrut, Cassian, and Tie Advanced -- very few people have any hope of unlocking these toons. And these toons are not meh--they are breathtakingly good. If you want proof, find the video of just Jyn, Baze, and Chirrut destroying another maxed out meta team. And even if they do unlock them, there is zero chance of getting them to 7* without paying a huge sum of money for packs. Remember when 320 crystals for 4 shards was considered a hard paywall? That is nothing compared to these new packs. 1200 crystals for maybe, maybe, 2 shore shards? C'mon, seriously? Baze and K2-SO are not tournament toons but are also unavailable or exceedingly difficult to obtain for a sizeable portion of the player base.
All people are really asking for is a little balance. Keep the tournaments. I like free gear and credits. But how about one--just one--very good new toon be made available via a palp or yoda-style event? It won't be a giveaway. You'll need, e.g., 5x7* of a certain faction for a 7*. (One can dream, but with all the new 7* palps coming on line soon, what about requiring an empire team to unlock Jedi Luke or R2D2?) A lot of people will pipe down about the tournaments, if we can get a palpatine-quality toon in a palpatine-style event.