This I my favorite of the entire Digimon franchise. so I kinda have to defend a few things and point some other things out :3. Sorry in advance I'm in full nerd mode.
"The story of Tamers is similar to Digimon 02 by starting out with three main characters and remaining in the real world at first."
Not rely the story for 02 started with 5 main character, only 3 were new characters. Also the story was very much different as Tamers established that 01 and 02 were both in this universe as tv shows which brought it all the a more grounded level along with the fact that the the first arc of Tamers had very little plot outside of the first few episodes and a few hint for later arcs.
"Back to Takato, he was embarrassing to watch a lot of the time. In a good amount of scenes, we see him grunting, screaming and flailing trying to encourage someone or something."
He was more like the younger audience who would be watching. He's a digimon fanboy so excited about having a real digimon and while never considers himself a leader but fit into the role slowly with everyone just following him as he matures into that role fully.... also his screaming and grunting is actually a plot device about his connection to guilmon.
and I could go on and on about this, but I'll just end with a fun fact.
Rio who appears in digimon tamers 3rd and final ark is also in zero 2 which lay evidence to the fact hes actually a reference to the games where he could travel though parallel universes.
*sigh* why can't this be on toonami instead of Sword Art Online