Text boxes are free-form user entry fields - so it is possible for a user to enter something not quite as you expected. And we, as humans, sometimes see what we expected, not what is really there. So...
1. Perhaps there are leading / trailing spaces
2. Perhaps you are seeing 'False' when in reality the text is 'false' (F vs f)
Try the following:
if (TXTSAVE.Text.Trim().Equals("False", StringComparison.InvariantCultureIgnoreCase))
{
MessageBox.Show("You Do Not Have Permission");
return;
}