They are definitely *NOT* genuine, they often have poorer spec components in the Vpp boost and variable Vdd supply circuits so cant be counted on to drive as low a /MCLR pullup or isolation resistor as the genuine article, or supply as much Vdd current to the target (which can be a particular issue for PIC24 and PIC32 targets), have no warranty other than the typical EBAY D.O.A buyer protection, but generally work OK with MPLAB as a PICkit 3. Typically they all have the same serial number which is a PITA if you are developing a multi-PIC project and need multiple PICkit 3 devices connected.
Although it happens less often than it used to, the PICkit 3 has a bit of a reputation for bricking itself. Its often retrievable by forcing bootloader mode, but if the bootloader is corrupted, the only solution is to reprogram the PIC24 in it with another programmer, or if its genuine, Microchip will send you a free exchange unit. Buy a clone and the odds are you'll have to buy a second one within the next couple of years,.