As the page 296 states, an active ego can only be broadcast 10,000 km - an insignificant distance, cosmically speaking. This capability is likely what page 275 refers to. Note that the quantum faracasting the quote refers to is not quantum entangled FTL communication, but rather a way of encrypting any other communication method - see page 314 for details. As such, egocasting still happens at the speed of light. At 10,000 km it'll take 0.033 seconds for the signal to arrive. It's reasonable to assume this is the main reason for the distance limit - any longer and the brain running at both locations at once is not communicating effectively with itself.
This leads to the conclusion that, indeed, inter-planetary egocasting is done using a stored ego. Loss of continuity is an issue!
As for the transmission time, it is mostly left up to the GM as many such things are in the system. Page 276 says that "Egocasting from the sun to the Kuiper Belt, however, takes between 40 and 70 hours, and so egocasting all of the way across the solar system can take even longer." As speed-of-light travel of that distance would take only 4 to 7 hours, we can assume a lotmost of the time iswill actually be spent on relays and re-broadcasting and processingwaiting for the data to be sent: data relays that handle neutrino broadcasting are a bottleneck (page 242). In fact
Conceivably, with an in-game reason or a bribe, this can be expedited. Otherwise, we can see that the process multiplies the travel time by a factor of 10 - perhaps a useful rule of thumb. Once the ego arrives, however, it only takes 5-10 minutes (page 296) to upload it to the new morph.