Why are there fewer stars in winter sky than in summer, but they are brighter?

In fact, in summer, our direction will be towards the center of the Milky Way, that is to say, the Milky Way will appear just above our heads, so from our point of view, there are often more stars in summer than in winter.

However, in winter, our position becomes biased towards the center of the Milky Way. So from our point of view, there will be fewer stars.

But probably because of this, there will be more bright stars in winter. For example, besides the sun, the brightest stars are not only Sirius, but also Betelgeuse and Betelgeuse. There are 2/kloc-0 bright stars in the whole day, and about 8 or 9 in winter, so it gives people a clear feeling.