Calling the EU Europe is made on purpose to conflate the two and make it obvious that all countries should unite into this political union. I think it is very useful to point that to people who conflate the two terms

Similarly, calling the USA "America" to conflate it with the rest of the continent in order to drive their idea of Latin America being "the back yard of the USA", or, more recently "the front yard".

I think that's putting words into peoples' mouths.

It's an ideology in favor of the European Union

You're being pedantic. It's not an ideology.