It does seem like a choice between the plant surviving or having blooms. We had a mild winter which was a blessing as we had virtually no snow cover. I don't see much damage. A lily or two that rotted. One big orienpet looks okay but has developed no roots. I forgot it was there until I dug it up accidently to plant something else.
I moved it to another spot and will keep an eye on it. The bulb is about 3" in diameter. It was a freebee just called 'orienpet' so I have no idea which one it is or what color.