Now, we downloaded the latest trial version of VintaSoftTwain.NET SDK 7.1 and the latest version of TSSCAN 2.0.0.0.
(If it can has matter, we found out that TSSCAN client internally uses Vintasoft.Twain.dll 7.0.23.5 version.)
1 test: We run TwainAdvancedDemo.exe using terminal session (through remote desktop connection) and tried to scan from flatbed.
The screen how we did it:
Important! There are no papers at the feeder at this moment! And we've got the attention message "No page in the scanner...". But when we tried to scan from flatbed again, but put papers into feeder the scanner started to scan from feeder.
2 test: we want to scan from feeder but not use duplex mode (also using terminal session).
Please look at

We put 2 papers into the feeder. As you can see we got 4 images as result of scanning. The both papers were scanned in duplex mode.
TwainAdvancedDemo.exe 7.1 works fine without using TSSCAN. But for our bussiness purposes we very need to use TSSCAN functionality.