The claim that starting your day by drinking lemon water is healthy is true. The source that the original claim linked is from the Cleveland Health Clinic. The Cleveland Health Clinic article states that drinking lemon water is an aid in digestion, helps you stay hydrated, prevents kidney stones, weight loss-friendly, gives an antioxidant boost, and is a great source of vitamin C. The article also links sources such as The National Kidney Foundation to back up their claims. However, they also link other articles from the Cleveland Health Clinic to support their claims which could mean they have a bias/alternate agenda. In reference to drinking lemon water first thing in the day, the article says that it is a good time to hydrate your body and drinking it on an empty stomach aids its digestive benefits
Another article from LifeQuest Nursing Center (
https://lifequestnursinghome.org/2015/04/7-benefits-of-starting-your-day-with-lemon-water/) also says that drinking lemon water also aids with digestion, hydration, weight-loss, boosts energy, and eliminates toxins. Both reputable sources claiming the same benefits helps support that the claim is true.
Lastly, registered dietician, Ashley Koff, said that adding lemon juice to water is good for the digestive track because it creates a better environment for good bacteria (
https://www.piercechiropractic.net/blog/a-simple-detox-for-every-morning).
However, I would say that the while there are benefits to drinking lemon water in the morning, the sources I found mainly provide reasons why drinking lemon water is good overall and the benefits are not specific to the time of day you drink them, just possibly more effective. In addition, there are some downsides to drinking lemon water such as the harm it can cause to your tooth enamel, but the pros out-weight the cons in this case.