Not really. We only had the option to grep logs on prod hosts only for the current hour so the only time that happens is when there is critical issue going on, logs being limited to 1 hour also means they were limited to a few 100 MBs tops. Even my old 2014 era thinkpad can handle that workload without breaking a sweat. It didn't even cause a blip in our metrics. Grep is a well written tool.

All the log grepping for data older than the current hour happen off-prod host and thus was never a concern.