No, it wouldn't. It would simply reduce the fee you need to pay to secure entry to the next block at times when the mempool is full, but it would make absolutely zero difference to the average block time and therefore the expected time for that next block to be mined.

If you want to reduce the confirmation time then you need to change consensus to aim for a lower difficulty. This doesn't solve the problem of making bitcoin "more usable in everyday life", though, since to have a block time low enough for point of sale transactions (i.e. a few seconds at most), you end up with frequent stale blocks and chain re-orgs, necessitating that you for many more confirmations anyway.