Companies that have tracking or are in the business in that sense probably have some filters in their programs that assign identities or identify possible scamming situations that could cause problems in the systems. More volume would just result in longer analysis time because it increased in data and was quite complex, but if time isn't a problem, I don't think it will be impossible to track.
Blockchain analysis companies already have advanced tools to track and link addresses to potential identities, even with a lot of data. The increased volume might slow down the process slightly but it doesn't make tracking impossible.