###Short answer###

Yes, Alice reduces animal suffering by buying animal products bearing this logo

###Long answer###

Wikipedia mentions briefly animal welfare as a topic covered by regulation:

This agreement covers such issues as foodstuffs, disease prevention and veterinary treatments, animal welfare, husbandry practices and the management of manure.

The regulation itself provides further information:

In most cases livestock should have access to free-range exercise areas or grazing, weather conditions permitting, and such free-range areas should in principle be organised under an appropriate system of rotation;

Housing for all species of livestock should satisfy the needs of the animals concerned as regards ventilation, light, space and comfort and sufficient area should accordingly be provided to permit ample freedom of movement for each animal and to develop the animal's natural social behaviour;

Short answer

Yes, Alice reduces animal suffering by buying animal products bearing this logo

Long answer

Wikipedia mentions briefly animal welfare as a topic covered by regulation:

This agreement covers such issues as foodstuffs, disease prevention and veterinary treatments, animal welfare, husbandry practices and the management of manure.

The regulation itself provides further information:

In most cases livestock should have access to free-range exercise areas or grazing, weather conditions permitting, and such free-range areas should in principle be organised under an appropriate system of rotation;

Housing for all species of livestock should satisfy the needs of the animals concerned as regards ventilation, light, space and comfort and sufficient area should accordingly be provided to permit ample freedom of movement for each animal and to develop the animal's natural social behaviour;