The distaste for the term 'influencer' arises because the job description is basically 'gain a social media following and then influence that following to buy products, adopt political views, or do other things that your actual clients want you to do.'

In this scenario, the product being sold is access to that following, and the influencer will - like Facebook - sell that product to anyone for any purpose. It's a bit creepy because the influencer can care not at all about the following, happily pushing crappy supplements or other junk with no qualms.

It really comes down to 'do you have any ethical or moral concerns about how your flock of followers (and perhaps a good chunk of their personal data) is being used by your paying clients'?

In contrast, consider the term 'creator' which we think of as someone producing artistic or engineering etc. value, sharing that with the world, and perhaps selling their work online, with limited (and curated) need for the junk advertising / opinion manipulation / political shenanigans cash flows.