If you don’t believe the doctrinal teachings of a particular church, why would you want to keep attending it?
That is a very good question. I honestly do not have a good answer for you. Having come from a Protestant background I will say this though. For the Protestant believer in Jesus, they think it is mostly impossible to have the Fullness of Truth in any Church that includes the Catholic Church as well. So they stick to the Church that is as closely alines to their own beliefs. But again they may disagree with some of the beliefs as well. In order to understand a Protestant, you have to talk to them individually not as a denomination. This goes true with Catholics, especially today. There are many Catholics who disagree with the Catholic Church on various issues privately. I myself do not.
“But belief about whether Jesus is present in the Holy Eucharist seems pretty central to a faith from a “beliefs” point of view.”
Yes I agree. However let me give you a case in point. My dad who attends an Assemblies of God Church/Community: He holds to Consubstantiation. However here is what the Assemblies of God has on their website underneath Holy Communion:
“The Lord’s Supper, consisting of the elements --bread and the fruit of the vine-- is the symbol expressing our sharing the divine nature of our Lord Jesus Christ (2 Peter 1:4 [KJV/NIV]), a memorial of his suffering and death (1 Corinthians 11:26 [KJV/NIV]), and a prophecy of His second coming (1 Corinthians 11:26 [KJV/NIV]), and is enjoined on all believers “till He come!””
The problem with this is that it is super vague. That is I believe on purpose. Consider for example their usage of symbol does not the Catholic Church teach that the Eucharist is a symbol as well as being the Literal presence of Christ on Earth? Again do we not also believe that the Eucharist is a memorial of his suffering and death? Do we also not believe that the Eucharist points us forward to when Jesus will come back again?
Depending on how they are using the word symbol I would say I agree with the Assemblies of God teaching on Holy Communion. Although they would not call the Eucharist/Holy Communion a Sacrament but rather an Ordinance by this they mean, it has been commanded by the Lord Jesus Christ for us to do, which again we would agree. However do they believe that it is a means of Grace? They don’t say. Thus it leaves open for the individual to believe what he/she wants to believe in the Assemblies of God.
Another thing my dad disagrees with the Assemblies of God about is this: “The baptism of believers in the Holy Spirit is witnessed by the initial physical sign of speaking with other tongues as the Spirit of God gives them utterance.” What this means is that if you haven’t spoken in Tongues you haven’t received the Baptism of the Holy Spirit. My dad disagrees, So do I.