There is an indirect effect. Water consumption significantly affects DMI which is vital for milk production. Inadequate water supply to animal will result in heat stress since milking cows will generate more heat which will again affect milk production. Finally, there could be many answers to the above questions by using references to support each point.

Yes, the water consumed by dairy animals can have an effect on the properties of their milk. Water is a critical component of a dairy cow's diet and plays a crucial role in milk production and composition. Here are some ways in which water can impact milk properties:

Milk yield: Water is essential for maintaining proper hydration in dairy animals. Dehydration can lead to reduced milk production. Cows that have access to an adequate and clean water supply are more likely to produce higher quantities of milk.

Milk composition: The composition of milk, including its fat, protein, and lactose content, can be influenced by the water intake of dairy animals. For example, insufficient water intake can lead to higher milk fat content, as water is used in the synthesis of milk fat. Conversely, excessive water intake without proper nutrient balance can dilute the milk components.

Milk quality: The cleanliness and quality of the water source can also affect milk quality. Contaminated water can introduce pathogens and impurities into the cow's system, potentially leading to bacterial contamination of the milk.

Cow health: Adequate water intake is essential for overall cow health. Dehydrated cows may suffer from various health issues, which can indirectly impact milk production and quality.

Environmental factors: Environmental conditions, such as temperature and humidity, can affect water intake. During hot and humid weather, cows may consume more water to stay cool, which can impact milk production and composition.

It's important for dairy farmers to ensure that their animals have access to clean and fresh water at all times to maintain optimal milk production and quality. Monitoring water intake and its relationship with milk production and composition is part of good dairy management practices.

In addition to the above the feed and fodder availability affect the water intake of animals, if dry fodder and more concentrates are fed to the animals the water intake will be more compared to green fodder and less or no concentrate feeding.

You can find the review paper regarding this here https://link.springer.com/article/10.1007/s13201-020-1160-0#:~:text=The%20quality%20of%20water%20determines,and%20performance%20of%20dairy%20cattle.

Hope it will be helpful

Fresh water supporting the live stock health and milk quality and daily water consumption of live stock depend on Age of animal and type of animal .