When the minute hand goes after 30, you have to say menos (minus). For example, Son las tres menos cuarto. This is saying it is two fifteen. You just have to subtract from the next hour.
I like your new reboot video for telling time but do native speakers think using the form "Son las dos y cuarenta y cinco" sounds a bit strange to their ears? When I went to Mexico I used it but the people I came in contact with used the "menos" form.or even the "para" use. Now here in the US I say the time like we would and so far no comments one way or another.
I think this is one of those things that isn't overly a big deal. Some people might say it the long way, some people might say it the shorter ways, some people might use "menos", some people might use "falta(n)", but it's all time. Can you get the point across and can the person understand you? Isn't that the purpose of learning a language? ;-) Keep in mind how many ways we can tell time in English. Does any one sound strange compared to the other? Not necessarily. But it might be personal preference. It's 10:45. / It's quarter til. / It's quarter til 11:00. / It's 10 and three quarters... Just kidding on the last one. ;-)
I heard someone from Cuba use "menos". I believe it's also used in Spain. There is a third way you could use involving "faltan + [minutos] para [hora]" It's used a lot in Latin America.