Yes, nature finds a way, which is why many trees have figured out how to shed leaves and regrow them. So a monthly cycle could have given a quite different type of trees.
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I also don't think evergreens have much trouble dealing with a lot of snow, in a sense of withstanding the weight.
They've dealt with this by being different. For instance, needles instead of leaves which carry more snow, sturdier branches, branches that can be bent more down (more T shaped than Y shaped), etc. Evergreens usually only lose their crown due to snow. Unseasonal snow can do much damage to deciduous trees with leaves (both branches and trunk may snap).