Lookup column based on a user specific relation

I have a screen with a choice component and the selected row is inserted into a user specific column.
Based on that user specific column I have a relation to another table.
I also have lookup columns from this relation however I don’t have the option of setting lookup columns as user specific.
Will my lookup column be filled with data based Per User from the choice component relation?
My concern is what will happen if 2 users use this screen simultaneously.
Thank you

All these calculations take place on each users device.
So the answer is yes - the lookup will be specific to each user.