Given the longer-term treasury rates increasing, is there a difference between short and long term TIPS?

For about a year I've had my medium term savings in VTIP, which is short term inflation-protected securities (<5 year duration). Now that the whole bond market yield is jumping in expectation of additional inflation and stability, am I correct in assuming the longer term TIPs (in this case, VTP) will perform better since they cover a broader range of durations?

Or is buying TIPs through an ETF not as subject to the same amount of interest rate chaos that other bonds are facing?