In any aviation environment, reviewing a system is known as a Check, i.e. Checklist, Flight Control Check,etc... its part of the aviation dialogue   
To watch something as defined in Webster's Dictionary:  
 a: to be attentive or vigilant   
Whereas to Check something is according to Webster's : standard for testing and evaluation   
With EKRAN, arent we evaluating the alert just generated and not a prolonged attentiveness to it ( makes it seem like a much longer evaluation )