Hot staples are generally used on things like car bumper bars
They are a bit tricky to insert and prevent the proper fusion of the crack and the resulting patch is no where near a s strong as the properly welded part
They are used in the auto trade because they are quick & cheap and the joint will be filled in with a glue style filler , usually a construction grade of sikaflex then sanded back & painted over
Bumpers are not a load carrying part.
The deck of a mower is both load carrying and subject to vibrations so I seriously doubt staples will do the job
Unlike metals ( or wood ) plastics are like ceramics and have no grain so a properly welded crack should be 100% the strength, durability & vibration resistant as the original material
The trick is getting a full depth weld, and not burning the parent plastic which requires really careful temperature control
Burning does not mean having flames coming off & /or charing the surface, it simply means getting the plastic so hot that the active molecule ends grab onto an O2 or H2 molecule from the air thus deactivating the bond so it molecule can not bond onto the weld material or the other side of the crack .