The purpose of an insect hotel is to support insect diversity/populations which is lacking typically in urban areas. Insects in turn doing wonders for plant diversity in the area and attracting birds, for being prey items. An insect hotel is a tool that along with a few other small and simple measures, may make your garden much more wildlife friendly.

The comparison with chicken falls short. People have chicken for their eggs, meat and/or personal entertainment. There's no ecological goal of supporting chicken diversity as they're not exactly in decline, nor do they play any meaningful role in relation to native wildlife.

Chicken are for you, a utility. An insect hotel is not for you, it's to help insects and related wildlife. Insects are not pets, you should not cherry pick them with zero understanding of how the dynamics work. 99.99% of insects should die before adulthood, and even adulthood is typically mere days or weeks.