Games were about scores in the past and people still enjoyed them for "the experience" so that's not a great argument.
It's very easy to implement (nowadays, 10 years after achievements came to life) and only adds to the console. If people cry over scores (seriously, all your old games are about scores), simply add an option to disable notifications/stats/achievements for your profile.
Also, achievements that require you to do something grindy which may take months or even longer, that's not a bad thing. It is what achievements are about: showing how far someone has gone/much time someone put into a game. It's rarely about skill and when achievements came big they were explained exactly like that: more like a stat you can view about other players instead of skill, real achievement or whatever.







