Primary batteries have higher specific energy (ability to hold power) than secondary batteries. The below graph compares the typical gravimetric energy densities of lead acid, NiMH, Li-ion, alkaline, and lithium primary batteries.
The specific power (ability to deliver power) of rechargeable batteries outperforms primary batteries. Furthermore, rechargeable batteries are much more resilient under high loads. The below graph compares the performance of primary and rechargeable batteries under light load (mild discharge) and heavy load (1C).