Swapping venison for beef

Hello

I have your recipes for braised venison with bacon chestnuts and wild mushrooms (which states freezing instructions) and braised steak with a wild mushroom and Madeira sauce (which has no instructions for freezing)

My questions are - could I follow the whole recipe (including freezing) for the venison dish, but substitute the venison with braising steaks as in the beef recipe? Are the ingredients such as chestnuts and pancetta ok with beef? Would the freezing and re-heating instructions be the same?

I would be most grateful for your answers.

Thank you