Beyond lexical difficulties, the main problem with the (Second adventist?) WT doctrine of "invisible presence" is that such "presence" was just what the N.T. writers described as their current spiritual (or imaginary) reality: Jesus resurrected, raised and sitting at God's right hand, at the same time being in them and among them through the Spirit. Only, the NT writers (especially Paul) never used the term parousia for this present experience (or belief), rather for the end of it (terminus ad quem): Jesus' ultimate coming, obvious to all and not only to them (in the Pastorals, epiphaneia or "manifestation" replaces parousia with the same meaning).
This can be summed up by the conclusion of Matthew: "I am with you always, to the end of the age."
What is totally unbiblical is the idea that from a certain date (1844, 1874, 1914, 1918-9) Jesus would somehow be a little more present than before (but still invisibly), though this would not be the end yet...