Sleep ain't really turning off, it's just a low-power state with some components off. Now, iirc, the RAM remains powered and therefore retains state. I think the CPU state is also preserved. Anyway, point is, as DBD said, all machines should power on instantly from sleep. Every PC I have owned has. My newest laptop is no faster than my old Cellery box. All instant. Hibernate is a different matter since states are dumped to hdd (hiberfile.sys, iirc) so a slow hdd would bottleneck the best components. An ssd, well, nuff said.
Cold boots (best times):
TinyCore Linux: 5 - 8 seconds on my Asus Travelmate
Antix Linux: 15 seconds on my Asus Travelmate
Win7: Guestimate of about 30 - 40 seconds on my Acer eMachines
*Installed software obviously affects these numbers, as does boot medium.
"You realise you're not nearly as funny as you think you are," said Onii-chan.
"I know that, which means I must be as funny as I think I am; in a paradoxical sort of way," I replied.