If you trust each other and think that the bound mobile phone number is just a more convenient way of communication, then you can agree to this request. However, before binding, it is recommended to consult the bank staff to understand the process and precautions of binding the mobile phone number with the salary card to avoid unnecessary trouble.
If you have doubts about each other's financial situation or the trust relationship between you, you can also choose not to bind or delay binding. In this case, you can communicate well with each other and explain your worries and concerns. If the other party understands and agrees, you can discuss other management methods together, such as making a family financial plan and using a savings card with the same name.
In short, whether the salary card is bound to your mobile phone number depends on your actual situation and feelings. If you think this requirement is reasonable and acceptable, then you can agree to the binding. But if you think this request is unreasonable or you have questions, you can also find other solutions through communication and consultation.