Mulch, any mulch, can kill plants if the mulch is piled up against the stemes and trunks of plants…even large ones.  Here’s a quote from the info sheet on that product (which Hewitt’s does not sell by the way).

“Where to Use:

Use Scotts Texas Select Classic Black Mulch around trees, shrubs, flowers or vegetables

• • Leave several inches of space between the mulch and tree trunks, house foundations or other wood structures
• Where Not to Use:
  • Do not apply around underdeveloped plants, before flower and vegetable seeds have germinated, directly against tree trunks or within several inches of house foundations or other wood structures