No, influencers do not accept commission only payments on theright.fit.
Influencers must be paid an agreed amount per post or blog or video. This compensates them for their time, creative effort, following.
Dont forget, there are many parts of the transaction that an influencer cannot control - such as whether or not the product they promote for you is in stock or in their size, if your mobile experience of your website is good, if the users comes back after some time to make purchase not straight from the affiliate link etc. It also doesn't compensate them for their creative energy and time in creating the post, styling, editing the image. Just like other marketing channels like TV stations, magazines or billboards do not take commission only as a payment.