I don't think I see receptionism in the 39 articles, but the articles do leave more room for ambiguity than the statements of some other denominations do. Anglicanism deliberately chooses to allow diversity of belief on a number of theological topics, and this is one. Real presence, yes. The exact nature and mechanism of that presence -- we have freedom to disagree. Evangelical Anglicans and Reformed Anglicans and Anglo-Catholics all using the same BCP, yes. Note that we also have the freedom to say "God is present here, and I don't know how."
(Note, by the way, that at least in the American church, the 39 articles are an important historical document for us, but they are not binding on us. The American church moved in a more "Catholic" direction in the last century or so.)
There is an interesting ambiguity in the invitation to the Altar at the end of our Eucharistic Prayer:
The Gifts of God for the People of God.
(Optional extra sentence
Take them in remembrance that Christ died for you, and feed on him in your hearts by faith, with thanksgiving.
The first sentence emphasizes God's action. The second sentence emphasizes our faith, and perhaps leans toward receptionism. Some priests will say only the first sentence; others say both.
Closed vs open communion is a separate question. A common argument for open communion is almost the opposite of receptionism: the view that God's grace comes to us even when we don't perceive it or understand it. Come, if you are seeking God, come to this Altar and receive God's grace with us. We can discuss the theology of it later, at coffee hour. Experience it first, and analyze it later.
You may agree with that, or not. (I suspect you'll disagree.

) But it's not receptionism. It's emphasizing that it is God who acts at the Altar, God who pours out grace and love.