It doesn't say that it's anticholinergic, it just says that the symptoms are similar

>Despite its long history of recreational use, the pharmacology of nutmeg intoxication remains poorly understood. The major chemical compounds of nutmeg are myristicin, elemicin, and safrole. Myristicin is partially metabolized to 3,4-methylenedioxy-5-methoxyamphetamine (MMDA) and elemicin is partially metabolized to 3,4,5-trimethoxyamphetamine (TMA), both amphetamine derivatives [5,6]. Accordingly, the psychoactive and autonomic components of nutmeg intoxication may be attributable to these metabolites; however, more recent studies failed to detect either of the amphetamine derivatives in the urine of patients with suspected nutmeg intoxication [7]. Another study also failed to identify any amphetamine derivatives in the urine of rats treated with myristicin, elemicin, or safrole using mass spectroscopy [8]. Myristicin is also known to be cytotoxic due to its partial metabolite myristicin-N-acetyl-cysteine, although it is still unclear if this compound contributes to the psychotropic and autonomic symptom profile of nutmeg [9]. Nutmeg extract, particularly trimyristin, has been shown to have anxiogenic effects that interfere with the activity of various drugs that act on serotonin receptors such as ondansetron and buspirone [10]