All printer manufacturer's recommend the user to leave it on so this will help with ink usage, but also with the new series having the time feature integrated, it can wake up from sleep mode when not being used, check the nozzles and clean if needed. Once it's done, it will be idle and sleep if not used in the time frame. The reason for leaving it turned on vs on/off each time is that this process will make it go through more ink when turning back on. It does the agitation process and pushes more ink through the head to make sure it's working properly vs having the printer check and clean itself where less ink goes through.
Yes, the sleep mode to on is quicker, but it's also helping on the nozzles. One of my customers that had a previous vs (4900) spoke to someone that dealt with the older printers found out that if you leave the printer unattended for a long portion of time (a few weeks to months) while turned off, this won't technically help with the nozzle issues. Since the power cord is still connected, it still puts a current through the body which makes the head "act" like a magnet and this can attract dust to try clogging nozzles. Most understand how fun it may be to unclog certain colors. As long as you cover the printer when you leave, WHILE you unplug the power, you should be good. If you do your own thing and it works, great!
But, it's recommended (with the P series) to leave it on if you can, and the automated timer (which can be adjusted per your choice) will usually handle the maintenance when it's not being used.