It depends on how the inbreeding was managed. If the population is managed to maximize the genetic diversity based on the number of founders then it won't have a lot of effect or in a natural population where there are selective pressures working on any negative traits then its not a problem either.
Cross bred animals implies that the animal was out bred to a seperate species. Depending on the out cross there may be hybrid vigor but this is often paired with infertility. (for example see mules and hinneys or in the case of frogs have calls that are unattractive for either of the parent species (see Wiley InterScience :: Session Cookies)
Some comments,
Ed