Very true. However, in the prudish US, it is most common for people looking for a toilet to ask for a "bathroom," even though everyone knows that a bath isn't what they want, and there is no bath in the "bathroom!" If you asked for "the services" people wouldn't know what you wanted, and if you asked for the "washroom," they'd think you were a foreigner. So bathroom should definitely be accepted as a correct translation to this sentence. Oh, I just remembered- people also ask for "restrooms" here, so that should be on the acceptable list too.
Really, the most correct translation for "los servicios" might be "the facilities" to refer to public toilets- that gets used here too. Also, in Mexico and here among Spanish speakers I have heard "el escusado" and also "el bano," probably because of the prevailing usage in English.