"connect the latest block to the chain tip."
This means the new block has been downloaded by your node, verified, your mempool adjusted to reflect the new state, and, if you were a miner, you'd be ready to mine upon this new block.
"post new work"
Work for the miners of the pool to start working on. This means that the SV mining pool "connected the latest block to the chain tip" 2 minutes before the normal nodes listening on the network.
This means the new block has been downloaded by your node, verified, your mempool adjusted to reflect the new state, and, if you were a miner, you'd be ready to mine upon this new block.
"post new work"
Work for the miners of the pool to start working on. This means that the SV mining pool "connected the latest block to the chain tip" 2 minutes before the normal nodes listening on the network.