Problem with cartridge is bullets designed for.338 are are not intended for such slow velocity .imo
You would need to be cautious and thoughtful of your bullet selection

Really 308,358 win,338-06 better all the way

I'd probably only shoot the lightweight 160gr Barnes or thin jacketed cup core lightweight cheap bullets in 338 federal

Just shoot 308 nothing will know the deference except you'll probably have quicker kills