No... the script selection specifies the script to be used (ie. the type of address you want to generate, Legacy, Nested Segwit or Native Segwit). The derivation path is the path you want to use to start generating keys. Electrum will then follow the derivation path to start generating private keys... and from those keys, will use the specified script type to convert it to an address.
If you only use
one account in Ledger Live... then, as Abdussamad suggests, you will NOT need to modify the derivation path, simply select the script type, the derivation path will default to the correct setting.
However, if you do use multiple "accounts" in Ledger Live (ie. You have Bitcoin Native 1 and Bitcoin Native 2)... then you WILL need to modify the derivation path AFTER selecting the script type, as Electrum only allows ONE account per wallet.
Also, you can use ANY derivation path you like, in combination with any script type... Electrum won't care. For instance, if I select "Native Segwit"... and ridiculous non-standard derivation path:
I get Native Segwit addresses:
If I select Legacy, with the same derivation path... I get Legacy addresses:
And you can see that because they have
the same derivation path... they are created from
the same private key... they just use a different script type:
Test BIP39 seed used: domain average merry rare quarter again cute mango trend gasp strategy fade