まで versus さえ when meaning "even", "to the point of-"


I'm currently going over lesson no. 21 of 新完全マスター N2, and I'm not sure about
the difference between the usage of ~まで and ~さえ. Looking at the description
and the example sentences, it seemed like both of these forms might be used to
mean "even X" or "to the point of X". The example sentences that really bugged
me are the folowing:

> 仕事がとても忙しいときは、会社に泊まること **さえ** ある。

> 遊園地では、みんな長い時間並ん **でまで** ジェットコースターに乗りたがる。

In which both さえ and まで are used as "to the point of", and

> 一番に賛成してくれると思っていた母 **まで** 私の結婚に反対した。

> この料理は簡単だ。料理の苦手なわたし **でさえ** 失敗しなかった。

In which both さえ and まで are used as "even" when presenting an
unexpected/atypical example.

In addition, according to Shin Kanzen, the words coming before these two forms
are both "極端で意外性のある例".

I'd be glad to know whether both of these forms can be used in the same way in
these contexts, and are they interchangeable in the sentences I mentioned
earlier? If not - when will each one of them be used?




Former ones which means “to the point of” completely interchangeable.

But latter one is not. Because,these two word’s definitions are
strictly,little bit different each other.

“さえ” this intention is to refer to something that is minimally expected. “まで”
is intended to refer to something that has a more important element.

> Ex さえ:一番に賛成してくれると思っていた母さえ私の結婚に反対した。(I thought at least,my mother would agree
> with me,but~) まで:一番に賛成してくれると思っていた母まで私の結婚に反対した。(My father and brother didn’t
> agree with me. Besides,my mother didn’t~)

> Ex さえ:この料理は簡単だ。料理の苦手なわたしでさえ失敗しなかった。(This cooking is easy.because “me”who is
> not good at cooking succeeded.) まで:この料理は簡単だ。料理の苦手なわたしまで失敗しなかった。(This cooking
> is easy.Because other people succeeded in usual,but additionally,I succeeded
> too.)

