@Ray of hope, you are misguided.
Suppose the draw is on 2nd October, at 13.23 UTC with a cut-off score of 460.
If you happen to create an EOI profile with a score of 461 and transmit it at 13.22 UTC, you will be invited, 100%.
If the same profile is transmitted at 13.24 UTC, it has missed the draw, which occurred a minute ago. This won't get an ITA.
Please note, the page displays the updated draw sometime later than the actual draw time. Could be a few minutes' difference.
The tie breaker in this case is for 460 CRS score, anyone above it will be assured of an ITA.
Again, suppose there are 3900 ITAs to be issued. The 461 scoring profiles complete 3750 of these, now 150 have to be chosen from 460 score, which are 220 in number. For an unbiased choice, the system starts picking up oldest profiles first, and when the 150th profile is picked, the target of 3900 is complete. 70 profiles with 460 are still left in the pool. The tie breaker date/time given is actually the date and time of the 3900th profile transmission.
For example, suppose two friends with 460 CRS score are creating their individual profiles while sitting at the same place on their own devices on September 10th around 4pm UTC. At the time of transmitting, they are off by a minute, say one did it at 16.22, the other at 16.24, as the system registered. When the draw occurred on 2nd October, the 150th profile from 460 score was of the guy who transmitted it at 16.22, the other friend will not be invited here. The tie breaker is therefore September 10th, 16.22 UTC.
(I think I explained properly, feel free to correct me if I'm wrong)