That's a problem with the internet in general really. eSNI or not, "don't stand out" can only work if you aren't standing out in regards to the source and destination IPs your packets have.
You can easily run a proxy from AWS (or whoever) to wherever, and get don't stand out, without giving the keys to your proxy host. If you cycle those often enough, you'll have some degree of don't stand out. Of course, if you use eSNI, or SNI, you'll still stand out