Since you bring it up I'm pretty sure mules are sterile. Hence they could never overtake the wild population or even reproduce at all.
As crosses within the shrimp genera
Caridina and
Neocaridina should make clear, interspecific (interspecies) hybrids are not necessarily sterile.
Note: crossing experiments with other animals (I don't know of any experiments or anecdotes for shrimp) have shown that even if the first few generations of hybrids are not sterile, genetic incompatibilities can cause health and fertility problems further along the line.
So exactly how can hybridization be undesirable?
Simply put: Hybridization can permanently destroy the unique character of species and their variants -- to swamp all their wonderfully distinct combinations of form, color, and behavior.
The fact that coydogs (the offspring of male coyotes,
Canis latrans, and female domestic dogs,
Canis lupus familiaris) are biologically possible doesn't make it desirable for them to supplant Fido. (Besides, such creatures -- often favoring their solitary coyote over their gregarious dog side -- have characteristically poor temperaments.)
The offspring of such crosses are no longer true-breeding (in shrimp, this often means color patterns that are radically inconsistent over successive generations). Remember -- recessive traits are completely masked in the first generation of hybrids and afterwards show up much less frequently than in the pure parent type. The coloration of hybrid shrimp is rarely a simple combination or 50-50 blend of ancestor tones and patterns -- the results are difficult to predict and often visually disappointing.
Apart from aesthetics, there are real ethical objections. Despite the popularity of mainstays like cherry shrimp, many species of freshwater shrimp are owned by relatively few people, and in very limited quantities. It would be foolish to contaminate breeding colonies of such shrimp with other species capable of hybridizing with them -- to reduce the captive numbers of a rare species to zero -- when native populations are increasingly imperiled. Pollution, flawed water management policies, and invasive species, among other factors, affect shrimp just as much as any other sort of freshwater organism.
As has already happened with some species of Rift Lake cichlids, aquarists may unfortunately find themselves caring for the world's only examples of shrimp that have gone extinct in the wild. In this case, allowing or preventing hybridization may mean the difference between preservation for future reintroduction ... and extinction.