Shared neutral describes a variety of schemes, only one of which is a multi-wire branch circuit. All of them are sensitive to miswiring, because in the US, we don't put circuit breakers on the neutral. The neutral can be overloaded if the wiring isn't perfect.
If it is a multi-wire branch circuit, the two hots must be on opposite poles, so the neutral carries only differential (imbalance) current. Indeed, you need breakers with common shut-off, ** which in a circuit breaker panel usually amounts to a double breaker. A weakness of the Q-line panels is that handle-tying any two single breakers does not guarantee they are on opposite poles. A strength of the Q-line is that 2-pole breakers are quite compact and can go almost anywhere. So the right answer with this panel is use 2-pole breakers with this panel.
2-pole breakers do 2 things for you: 1) they assure you land on opposite poles (so you don't overload the neutral), and 2) they give you common maintenance shut-off. As a side-effect, 3) they do indeed give you common trip. That is a side-effect inherent in using breakers.
If it is not MWBC, then you must be very careful. In particular, all the hots on one pole, acting together at full power, must not be able to overload the neutral wire. There are more Code requirements discussed in NEC 215.4(A) and 225.7(B).
** the requirement is the normal maintenance shut-off must de-energize all parts of the MWBC. Common trip is not a requirement. That is relevant if the circuit is fed by fuses, a shut-off switch will suffice, no need to assure both fuses blow at once. However in a breaker panel, breakers are the presumptive maintenance shut-off. Effectively this requires a 2-pole breaker or handle ties.