Ok so relative to the 11% shift right of NJ-8 swing 17% right, for a relative shift to the right of 7%.
2016-2020 shift of the district was 9% right while the state shifted 2% left, for a relative shift right of 11%
My Work:
Also here(Below) is the leans of the congressional districts relative to the states, as well as the relative shift again.
Here(Below) is the shift relative to the state from the presidential to gubernatorial elections for 2016-2017/2020-2021, as well as the difference in the in relative shift, aka: did a district shift more or less Democratic/Republican in 2021-2020 than the 2016-2017 shift.
How to read this: negative means that it became redder down ballot where positive means that it became bluer down ballot, in the 2020-2021 than the 2016-2017 election as compared to the statewide swing. The relative swing between those two Presidential-gubernatorial pairs (the difference in the relative shift).
All this go say that NJ-8 was 4% bluer in the 2021 gubernatorial election compared to its relative lean in 2020, than it was in 2017 to its relative lean in 2016.
Which is too say that, relative to the state, NJ-8 became bluer down ballot.
How to do this: Compare the relative leans from a presidential to a gubernatorial and how much more GOP/Dem the gubernatorial is is how much more democratic down ballot it is
Then comparing that difference between president/gov other Presidential and gubernatorial pairs (such as 2008/2009) tells you how much the down ballot lean changes.