Let's imaging a full node goes offline for a month, so they're missing ~4300 blocks (just using 10min/blk).
Are there any message exchanges that receive transactions to help sync the 'booting' node with the other peer node's mempools? (I.e. compensate for having a empty tx mempool)
Approx. how long it take (presume the 4300 missing block ex.) to receive the missing blocks?
What is happening during this time if the node is receiving propagated transactions? Or even a newly solved block?