No records saved while hosting local....?

[CapeDoctor]

hi guys
here is something that's been puzzling me a bit - i've always been a mainly offline player  (i.e: Testing screen in GPB)
since i started experiencing way too many core crashes whenever my bike went along the edge of the track, i was advised to use online mode, or at least, semi-online (i.e: Host Local screen in GPB)
this immediately solved these edge crashes, and i was a happy camper once again.
however, now i've realised that it doesn't seem to register my best lap times in this mode, most notably if i race on a new track for the first time - it simply never registers my best times.
in offline/Testing mode, this would happen automatically, and i could straight-away look through my Best Laps list to see it - using the 'Host Local' mode seems to not register best times.
is this an issue? is it deliberate?
could someone explain it to me, please? 
cheers