Honey bees are doing comparatively OK, for honey bees to die out it would require a much greater catastrophe than what we're seeing right now. Honey bees are quasi-domesticated with humans pushing colony size, it would be like milk-cows dying out.
It's native bees that are being killed off by pesticides, monocultures, and loss of habitat (due to humans encroaching, or feral honey bees pushing out native bees).
Some examples:
>On organic farms near natural habitat, we found that native bee communities could provide full pollination services even for a crop with heavy pollination requirements (e.g., watermelon, Citrullus lanatus), without the intervention of managed honey bees. All other farms, however, experienced greatly reduced diversity and abundance of native bees, resulting in insufficient pollination services from native bees alone. We found that diversity was essential for sustaining the service, because of year-to-year variation in community composition
from https://www.pnas.org/content/99/26/16812.short
>Recent studies suggest that the presence of large numbers of introduced [honey bee] managed colonies can threaten wild bee populations. Therefore, proposals to exclude A. mellifera colonies from protected areas have arisen.
https://www.sciencedirect.com/science/article/pii/S016953471...
and so on