"Well, if you were in this White House and you had seen the reaction in the public and in the press to the idea that Dan Quayle would be acting President for a few minutes during when they were going to give that shock treatment for the irregular heartbeat, I think probably if you were sitting in that White House, you wouldn't want to do that unless you had to."

这个句子应该是来自英美出版物或英文网站的句子，是讲母语的人说的话。其中during为介词，后接when引导的名词性从句，介词短语作would be的时间状语。when在此不是疑问词，而是融合型关系词，即when本身融合了先行词和关系，等于the time when.

And, of course, this was during when they were repressed in Victorian time, and their bodies were speaking for them.

这个句子中的during when+从句和上句结构相同，when=the time when. during后接名词性关系分句构成介词短语，介词短语作表语（不是表语从句）。现代语法会认为be在此是不及物动词，意为happen/take place, 介词短语是时间状语。

这两个句子中的during when都不能换成during which time. 因为当which指代主句内容时，只能引导非限制性定语从句（现代语法认为是关系分句作补充性状语），而以上二句中的during+when从句都是必具性修饰语，不可缺少。

《韦氏词典》和《柯林斯词典》均认为when作为代词可以是疑问代词或关系代词，英文释义为what time (疑问代词），which time (关系代词）。《柯林斯词典》并有如下例句，其中since when显然引导非限制性定语从句，when可用which time替换：

We came a week ago, since when we've been very busy.

关于during which和during which time, 可参读wdxzdhw网友提供的连接，不再赘述。