I understand the thought, but a Facebook "like" is no less mathy than a "+1". That much is clear from the way Facebook has turned "like" into a quantifiable thing. (Sure, "like" is a verb, but when you see "20 likes" under that status you just posted, you immediately see that a "like" is simply the result of COUNT in a database.)
I agree with you - but I think that thought comes to people a split second after the thought of "I like this". I think because you & I and many here know about databases / counters etc. we are more likely to abstract away distinctions between what verb gets attached to the counter.