in that external mount configuration would work. You just don't want to buy the kind that recesses inside a doorframe.
The one in the photos is a no-name. The store gets to put their own name on the bag, if they choose. The combo Phillips/slotted screws are a clue it is a do-it-yourself brand. The big brands usually have their name proudly cast into the inside and outside of the lock.
The one sales question in buying deadbolt locks that confuses people is "Single-cylinder or double-cylinder?" While "double-cylinder" sounds more secure, what it really means is you need a key to get OUT as well as get in. One cylinder outside, and one cylinder inside. These are for residence doors where a thief might break the glass to turn the inside handle and unlock the door. Or places you don't trust kids or employees. The lock in the photo is a single-cylinder type.