Probably not the case.
I update it via a script every 5 minutes, but I'll lower it. Probably wouldn't matter as long as the update interval is somewhat reasonable.
I'll say that your method will have limited effectiveness, if you consider the current situation. Being able to broadcast your transaction entails that the total mempool will be less than 90~100vMB or so depending on overheads. When you're able to broadcast it, it'll probably be when there are only 1 sat/vbyte transactions left in the mempool and all of the others were mined by a miner. This definitely won't happen overnight and even if miners were to mine successive blocks, which is unlikely to be sufficient, there is little chance of your 1 sat/vbyte transaction (currently there is 90vMB+ of transactions paying 2sat/vbyte or more) being confirmed even if it gets relayed. After it gets relayed, if the minmempoolfee increases at the slightest, your 1sat/vbyte transaction would be evicted again and the whole process repeats.
Just to put things into perspective and help you manage your optimism.