As an addition to Majenko's answer I can report having used many of the "Rev.3" counterfeits, every single one came with chip default fuses thereby reset enabled.
According to the ATTiny85 datasheet you need to enableYou can set the RSTDISBL fuse to use PB5. I was able to set the fuse by connecting a cheapwith your ISP programmer to the boardArduino, also updatingplus update the micronucleus bootloader in the process (freeing 0.4k).
Keep in mind setting this fuse will disable ISP programming, so you will need a working bootloader to reprogram the chip unless you revert it via HV programming.