Should I take precautions when using different CAN transceivers on the same bus?
The whole reason why we have such standards / specifications as CAN bus is to eliminate / avoid the potential issues you mention.

The transceivers simply need to adhere to the CAN bus specification which they do as both transceivers meet the ISO-11898 standard physical layer requirements, i.e. CAN bus. This specifies the voltages on CAN_H and CAN_L so no need to worry about that.

It is up to you (the user) to configure the speed of the transceivers in such a way that both can work together. For example a device might not support the same data rates as the other device. It is up to you to select the data rate which all transceivers support.