First off that will only happen in countries where the marketing negatives of not using recycled bottles impact sales (note that is not a lot of countries).

Second, recycled bottles are not made 100% from recycled plastic. You can tell that claim is misleading because if they were made 100% from recycled plastic they would be near opaque and dark grey rather than the pristine transparency that customers expect. Plastic recycling has a colour/type separation problem.

Third unlike glass or aluminium, plastic becomes brittle after a few recycling cycles, so even in a perfect circular economy you would still have to introduce 'new' plastic into these batches.

Yes Coca-Cola, Pepsico, Unilever, Nestle, etc. may claim to use recycled plastic but they are not using recycled plastic exclusively and they never will be able, plastic recycling is and always has been a marketing exercise to externalize the cost of plastic from Industry to consumers.

The issue isn't whether people put plastic waste into recycling bins, it's about whether any of that plastic gets taken out of the bins and re-used in commercial processes. Today, across the entire world, that answer is essentially no. Yes, there are products made with recycled plastic (Coca Cola is the current poster child). They are rare because its considerably more expensive and more difficult to work with recycled plastic, and most are made primarily with waste from manufacturing processes not post-consumer waste (I suspect Coke's volume is high enough that they need to tap the post-consumer stream but I haven't found any data on that).