It will definitely not benefit the next generation at all. Axolotls have already suffered a great deal of endogamy, which has empoverished captive genetics substantially. People breed close relatives together because they want a particular color mutation, or are hoping for a new one (hugely unlikely). Also, people tend to think, hey it´s caudates, they tolerate inbreeding well, so they allow them to do so for generations. The results are never good for the animals.
If you care about your animals and their future offspring i´d make an effort in trying to avoid breeding with such close relatives. However, finding unrelated blood (or at least somewhat distant) can be very difficult.
It´s unlikely you´ll get little monsters if you go ahead, although depending on the genetics of your animal, problems may arise, but even if they appear healthy, you´d be contributing to deminishing the genetic quality of future generations. I think it´s important to realise that endogamy has a price, even if it´s going to be paid 6 or 7 generations ahead.