Final answer:
While it is unlikely that the small amount of water had a crushing effect, the house spider may have succumbed to stress, physical injury, or shock. Diving bell spiders, a different species, use a silk air tank to breathe underwater and can survive submerged for a day.
Step-by-step explanation:
Spiders, including house spiders, typically have adaptations that prevent them from drowning quickly, allowing them to survive in water for extended periods. However, they do not possess gills like aquatic spiders such as the diving bell spiders, which can stay underwater for up to 24 hours by using a silk air tank that functions like a gill. Your observation that the spider seemed lifeless after getting wet may not be a result of drowning but could be due to other factors, such as physical injury, stress, or exposure to water being a shock to its system. The tiny droplet likely didn't provide a crushing force to harm the spider. The gentle leg movements initially observed could have been a sign of the spider's attempt to recover, but if there was no subsequent movement, it is likely the spider did not survive.