
The winter coat is a provider, feeding birds and other small animals. In late winter when the yellow finch begins to migrate north, they stop and feast on the black buttons of rudbeckia seed. The dried stems and stalks become a habitat in which small animals can seek shelter and where cocoons attached to the dried foliage slumber spring's butterflies.
The winter coat is a regenerator. There are some perennials that must reseed themselves in order to propagate. Violas, for example, reproduce in this fashion and who wouldn't want to leave the dry stalks in return for all those dainty, smiling faces to proliferate a garden bed in the spring? Several varieties of the lychnis family reproduce in this manner as well.
The winter coat is also an identifier. I don't accidentally dig into a clump of roots during early spring planting if I've left the dry foliage of a perennial in tact. Yesterday, we were having a bit of spring like weather. The temps rose into the upper 60's. Lu and I were out scouting around the beds in the back yard and I noticed that among the dried branches of perennials, weeds were beginning to sprout. I think its easier to identify the weeds if the dried foliage is left in tact. We immediately irradicated the offenders.
The final reason I like to leave the winter coat in tact is for protection. I've found that the dried foliage can act like a barrier for tender green foliage in a late spring frost.
Of course, there are always exceptions.

Typically though, most perennials, shrubs, and trees require no late fall shearing. Even the most sturdiest appreciate enduring the coldest season in their winter coat.