CH341A IC work between 3.3V and 5V according to datasheet so simply replacing the Vreg would not work.
I was successfully able to read, erase, write and verify a 1.8V BIOS chip without the 1.8V adapter.
The BIOS chip was MX25U12873F 1.8V 16Mb its from the MSI A320M Pro-VH Plus motherboard...