They can be ugly but put an A frame over them in fall. If the buds are healthy it should come back.

Here is a link that might be useful: Propagating Perennials

Actually after being winter pruned, they sometimes come back very strong and form a dense growth. However, that dense grow can make it more susceptible to snow load damage. As bullthistle mention, snow load protection may be necessary.

You can let you neighbor know that they aren't allowed to throw their snow on your property and are responsible for any damage this causes. Friendly neighbors are such a blessing. If yours isn't friendly, you may have to get a restraining order forbidding your neighbor from throwing their snow on your property.

Normal snow is much less of a problem. Shoveled snow can be compacted and act much like a huge boulder.