In my neighborhood, lots of people play this game. Summing up, this is really great fun. For one thing, there are more tactical possibilities, making it more chess-like. In the Cantonese dialect of Chinese, this game is called Kit-kay, meaning "uncover chess". In Hong Kong, there may be one or two Kit-kay tournaments each year with some veteran xiangqi players taking part. It is a shame that the records of such games are not available.
Blindqi

I don't know of such larger boards, IvanKosintsev. However, I have invented a Xiangqu variant myself. ^-^
(It's called Dragon's Chess II: Game of Conquer)
As the game was explained to me on a previous occasion, one would not just flip the pieces as their first move, but move them as the piece that would originally start at that location, and only then flip them. Is that a different variant, or did I misunderstand it?
The rules that Advisers would have to be moved to the Palace I hear for the first time too. Would that only be to the 5 squares they can originally be on, or would the other 4 squares do as well?
Blindqi
Variation to Xiangqi
https://en.wikipedia.org/wiki/Xiangqi
All pieces - except for the king - are blind (upside down), and their position is randomized and unknown for both players.
But - each player's pieces are positioned on their own respective side of the river.
(As an alternative we could allow each player to view and memorize his/her own pieces.)
Turning a piece takes one turn. Only after that, that piece can move, or capture, or be captured. Blind pieces are stupid obstacles.
When a counsellor is found outside the palace, it is immediately moved to any vacant position inside the palace (or removed from the board if there is no such position).