RE the OP's question. The bandoneon has all notes. Obviously the chromatic bandoneon has all notes in both directions, because it is unisonoric. With the main two types of bisonorics, nearly all notes occur on both the push and pull, though this differs. According to maker and player Klaus Gutjahr, the German layout gives you this, while the Argentine layout has a couple of notes on the left side that don't recur in both directions. Some makers now offer Argentine-layout bandos with some extra notes over the traditional 142, to close that gap.
But that is a different question from, will a bandoneon play like an accordion: No. It has as many notes and chordal possibilities on both sides, and you can arrange any type or piece of music you like on it, and it is a really cool instrument, but it will not aspirate, phrase, or move like an accordion because it is not an accordion. It has its own parameters and its own ways, and it's worth jumping into it, but it does not play like an accordion.
Be aware as well, that Argentine tangueros largely (not wholly, but largely) play tango on bandoneon ON THE PULL, but NOT on the push. They pull out playing a line or phrase. Then they push back in using the air button, and do so at beats and moments that complement and accentuate the lift and movement of tango. Then they come back out again while playing the next phrase, repeat, repeat, repeat. You can see this on Youtube, often 6 or 7 bando players sitting in the front row of a big tango orchestra in their tuxedos, doing this in unison with their bandos.
One CAN play the bandoneon in both directions continuously; the notes are all there to enable this, if you do the work necessary to acquire that level of technique. And some advocate that this is the highest and most accomplished mastery of bandoneon (this school of thought would be, more or less the Germans). However, the tangueros maintain it is the alternation of playing on the pull and whomping back in on the push with the air button, that achieves that tango nyah. A master-level Argentine bando player with conservatory technique will KNOW HOW to play in both directions. But in practice playing tango, they're gonna do it largely on the pull.
Due to this, the sound difference between playing tango dance music on a bisonoric bandoneon, versus playing it on a unisonoric ("chromatic") bando, is not as dramatic as some might think. The Argentines might not like to hear this, but playing-mostly-on the-pull thing effectively makes your bisonoric bando into a de facto unisonoric. And players of unisonoric ("chromatic") bando who know tango music and know what the hell they're doing, can get this same sense of tango swing or lift by playing their unisonoric . . . . only, or largely, on the pull. And whomping back in using the air button, all in the rhythm and in the phrases appropriate to the movement of tango music. Just like the players of bisonoric, who by doing this are converting their bisonorics into . . . de facto unisonorics.