You are missing the fact that in both verses presented, Peter is discussing water baptism specifically.
Peter's question in Acts 10:47 "Can any man forbid that Cornelius and others should not be water baptized since God has filled them with His Spirit? He is saying is there anyone that thinks we should refuse to water baptize these people.
And secondly, Peter tells the Jewish leaders that since God had filled them with His Spirit who was he to withstand God by refusing to administer baptism. (Acts 11:17) After Peter's explanation as to why he administered water baptisms, the leaders hold their peace and glorify God, saying, "Then hath God also to the Gentiles granted repentance unto life." Acts 11:18
There is nothing wrong with your summation Wansvic. Acts 10:47 is plain language. Then some here turn around and start posting doublespeak. Like this:
The question in Acts 10:47 had nothing to do with water baptism being more than a public display and procuring remission of sins.
Just keep sharing what you know to be true. Most here are already baptized but still want to argue it is not necessary. Everyone agrees that receiving the HS is the real baptism. But the HS seems to lead some to go ahead and seek water baptism and maybe others it does not? I know there is only one HS. C'est la Vie.