Hello Morooka,
IT_STS_Dyn works as you think. Once you read the RF_WRITE bit, write operation is already finished. The exact write timing is only available from the level of the GPO pin.
But anyway, I think your issue is not only with RF write operations. The point is that access to the ST25DV from one interface (RF or I2C) is exclusive, whatever you are reading or writing.
For instance, from the start of frame of an RF request, to the end of frame of the answer, the access from I2C is forbidden, even if RF is only reading the tag.
In the same way, from after a valid I2C device selection and until the stop condition, the I2C locks the access and RF cannot access the tag.
This is all explained in an application note, "AN5262 How to manage simultaneous I²C and RF data transfer with an ST25DVxxK device" https://www.st.com/resource/en/application_note/an5262-how-to-manage-simultaneous-ic-and-rf-data-transfer-with-an-st25dvxxk-device-stmicroelectronics.pdf
I think you can find your answer in this application note.
There is several ways to solve your issue. The simplest is by doing some polling to check the availability of the interface. You also have the possibility, on I2C side, to mute the RF is needed by entering the RF_SLEEP mode. You can also detect RF activity by using GPO interrupt RF_ACTIVITY. You can also monitor the RF field (you can do it with RF_FIELD_RISING and RF_FIELD_FALLING GPO interrupts). And you can combine those solutions to get something more accurate.
Best regards.