I met plenty of people in Lausanne who didn't speak English, or at least didn't want to speak English (it is hard to tell, and anyways, it doesn't really matter). I visited Montreal shortly after my 2 year stay in Lausanne ended and I was surprised on how multi-lingual people were there.

Montreal is not representative of Quebec in general. Montreal itself is very multilingual and anglophone depending on what specific part you're in. In the very touristy parts of Montreal you won't even notice French "requirements". Leave the island of Montreal towards the rest of Quebec (i.e. not towards Ontario) and you will find less and less people willing or able to speak English very very quickly.

Until they think you're a tourist. If they hear you speak another language than English and you seem like you're a tourist, then almost every Quebecer will try his best to speak English even if it means using hand and feet to communicate.

But if they think even for a second that you're actually Canadian, then outside Montreal and even in some parts of Montreal you will be met with the full force of Quebecois pride and nationalism and you better speak French to them.

Well, it makes sense. Canada still has a significant English-speaking majority. Even if Québec in isolation has a French-speaking majority, there's a very large incentive for French-speaking citizens to learn English because their province is surrounded by primarily Anglophone regions.

There are also other factors at play. Montréal has a fairly large community of native English speakers and receives a lot of tourism from Anglophone Canada and the United States due to its status as the largest city in Québec (and second largest in Canada). It also gets a lot of immigrants, many of which are (at least initially) more proficient in English than in French.

I can't say I'm entirely familiar with the situation in Switzerland, but as far as I know the country has four official languages, none of which are English. It also doesn't border any English-speaking countries. It seems English is mostly used as a lingua franca for communication between citizens who don't otherwise share a language rather than due to the direct presence of native Anglophones. Also, Romansh aside, all national languages of Switzerland (French, German and Italian) are spoken in areas that directly border a country where that language is the national language (France, Italy, Germany/Austria). With Switzerland being in the Schengen Area, its linguistic regions may be considered to be part of a much larger individual linguistic communities, which I feel may also diminish the need to learn other languages.