> If you plead guilty to an offence you shouldn't serve the same amount of time as someone who shows no remorse.

Showing remorse is good, yes, but holding that over someone's head as a way to force them to plead guilty is disgusting.

Also pleading guilty does not imply showing remorse.

If we can't disentangle plea and remorse, then factoring remorse into the sentence does more harm than good. It would be better to ignore it entirely and pretend everyone said they're deeply sorry.