Is it possible to prevent the timelineDay view of snapping resources to a full day (see image), as you can see the start/end time aren't exactly on day start/end but for some reason it gets snapped. (see the red line, it should end at 13:43)
I do not have the scheduler so I am not sure about this but have you looked into the slotDuration and snapDuration. Try setting them to a lower value. I believe the slotDuration default value is 30 minutes, it looks like you may need to set it to 1 minute if possible.