Inbreeding does not have negative effects in a population that does not have deleterious recessive alleles. In fact, there are some populations of humans that do not experience inbreeding depression despite being closely related to one another. The way inbreeding works is that it increases homozygosity in the loci for all genes, which essentially means that if you have genes with a single copy of a deleterious allele, you will end up with offspring that have two copies of those genes and that will decrease their fitness. Inbreeding reveals recessive genetic diseases that cause a decrease in population fitness, which we call inbreeding depression. Individuals who are homozygous with the recessive genetic disease will either produce few or no offspring, and eventually continued inbreeding will either cause the population to die out as a result of all individuals having the disease, or the allele itself will be weeded out from the population as individuals will eventually be homozygous for all genes and any individuals carrying the deleterious recessive alleles would have the disease and produce few or no offspring. If the recessive deleterious allele is removed from the population, there is no longer any inbreeding depression.
If you have a population of organisms that do not show inbreeding depression, you do not want to introduce new genes into this population from another population. You would potentially introduce a deleterious recessive allele that will slowly proliferate in an inbreeding population and inbreeding depression will occur and increase over time until the population either loses the allele or dies out. Some mantids do show inbreeding depression, and the introduction of new genes usually reverses the affects, but you should remember that you're only preventing inbreeding depression and that it isn't a long-term solution as gene flow can eventually cause homozygosity in all populations--especially if each population is limited in individuals like in captive populations. Perhaps certain mantid species in captivity originated from a few lucky individuals that did not carry many, if any deleterious recessive alleles and over time inbreeding in captivity weeded out the few recessive genetic diseases they carried. Maybe Phyllocrania paradoxa is one of those freakishly lucky species.