Which brings up the question of “when does fresh pursuit end?”. Some of the things I read about it suggest it only applies to certain levels of crime (i.e. felonies and misdemeanours with punishment greater than one year in prison). I presume then that the “evading police” is the crime they are in fresh pursuit of, not speeding? If the pursuit loses sight of you for, say, 5 minutes, has it lost its freshness?
Some are, but a lot of them out West have no walls or gates for large portions of them, which was unexpected for a German family who were lost in Death Valley and tried to go to what they thought was a walled military base.
IANAL but I’d wager a guess that “fresh pursuit” ends when the pursuer stops pursuing.
As to what particular crimes it applies to, as shown in my cite, the state of Illinois neither specifies nor limits the type of offense that can be pursued. Bricker’s cite for Wisconsin does specify felonies, so it obviously varies by state.