re-broadcasting a transaction which has a low fee (in this case 2 s/B) is not going to do anything for the confirmation of it. the same nodes that have a higher minrelaytxfee will still reject it and the same miners which want higher fee tx will still ignore it.
these steps are only good in case you have propagation problem. for example when you open your Electrum but you see your transaction is not there (because you connected to a node that doesn't have your tx) so you go to a block explorer (sometimes BC.I doesn't have it either) and get the raw transaction to push it to that node so you don't have to create a new tx and practically have a double spend in your hands.