You might want to look into what they define as being "late".
> A commuter train is considered on-time by the LIRR if it arrives within 5 minutes and 59 seconds of its scheduled arrival time.
The second source doesn't say, but let's assume it's the same as for LIRR, i.e. 6 minutes.
It's also unfortunate that the SBB doesn't immediately tell us the metric, but I happen to know it's 3 minutes (more specifically 2 minutes and 59 seconds).
In other words, the LIRR permits a delay of twice the time as SBB for it to constitute late. The S-trains in Copenhagen now has a punctuality of 97% using a 3 minute metric.[0]
[0] https://www.dsb.dk/om-dsb/virksomheden/rettidighed/s-togs-re...