Jens Spahn, the speaker in the video OP shared, is not a member of the government but a leading member of the parliament and of one of the ruling parties. A tiny but important difference.
I think ‘a leading member’ is underselling it a little. He is the “Fraktionsvorsitzender”, which is comparable to the majority leader in the US Senate.
Not really. First of all, Jens Spahn doesn't lead a majority, he merely leads his party's parliamentary group, which has 208 of 630 seats. Second, he has already proven this year that he doesn't have the members of his own parliamentary group under control, so his stance on a matter should not be taken for more than it is.