Hi,
It all depends on which type of analysis you are doing. If you are performing a analysis for new piping that will be attached to a tank which is already settel, then you can ignore this and calculate only future settlement if expected.
If you ask me then I will go with the total settlement and bulit up the load cases, considering the settlement as not a sustained but a secondary load, this effect need to be considered when your pipe is cold & hot.
For large tank with bottom nozzle, it will always try to rotate (when tank is fully filled with content) so there will be considerable amount of rotation which need to be consider when analysing the large tank with bottom nozzle. This you can calculate from API-650 appendix P.
About the spring I will recommend to check the spring design in the case where your pipe is hot with nozzle displacement and settlement. You will get the maximum load in this case and deflection as well.
Comments are welcome.
Regards,
R.K.