Problem was in the library... Instead the file name "1" just put "/1"... That's all! It is really stupid!

Yep!
The problem was in the library... It seems that I used original Arduino SD library instead of library from ESP32 platform.
After downloading platform source code and using exactly this library - all works even with the simplest adapterr!
Done!

I have to figure out this issue! I have changed sd card adapter from this one with no regulator and buffers: https://ae01.alicdn.com/kf/Ha6ab7d4647004bc0a6e29375dbe1b6b6L.jpg to that one with reculater and buffer: https://3v3.com.ua/data/medium/microsd_module.jpg Additionaly I tried to shortcut AMS1...

Hi guys! Please help if any chanse... I have stuck with the strange problem... I am prototyping an simple board based on TTGO esp32 board... OLED had started instantly. But SD card inited, correct detected, returns right size and free space... but there is no chans to open for reading or writing fil...