In some circumstances, it is worth noting the derivation path because even if the seed is the same, the resulting wallet address can differ depending on the wallet type.
BIP39 seed phrases can indeed be used to derive multiple address types at multiple derivation paths, but this is not the case for Electrum seed phrases and so you do not need to back up a derivation path. Electrum seed phrases have a version number encoded within them (as the first 8 or 12 bits of a hash of the seed phrase), meaning Electrum will only ever recovery one specific script type at one specific derivation path for each seed phrase.