Can someone confirm or correct me, if I understood correctly what would happen with all the "normal" transactions (i.e. no double-spend) in this hypothetical case:

As far as I understood it:

After the netorks merge again, the longer blockchain will be considered as the valid one, all clients which used the shorter one, will do a internal reorganisation (and validate and adopt the longer block-chain) and all non-conflicting (not double spend) transactions from the now orphaned shorter blockchain will be floating again and will be included in the next blocks of the longer chain.

Is this correct?