I’ve extracted insight from millions of log records per second on a single node with a similar setup, in real time, with much room to scale. The key to scaling log analysis is to get past textual parsing, which means using something structured, which usually negates the reason you were using ElasticSearch in the first place.
Google’s first Dataflow talk from I/O and the paper should give you an idea of what log analysis can look like when you get past the full text indexing mindset. Note that there’s nothing wrong with ELK, but you will run into scaling difficulty far sooner than you’d expect trying to index every log event as it comes. It’s also bad to discover this when you get slashdotted, and your ES cluster whimpers trying to keep up. One thing streaming often gets you is latency in that situation instead of death, since you’re probably building atop a distributed log (and falling behind is less bad than falling over).
The key here is: are you looking for specific log events or are you counting? You’re almost always counting. Why index individual events, then?