No, in a DARM if the floor is reached, the fund will fully move into the Core. But even if the Core is protective, it is able to generate a positive return (with bonds for instance) which will replenish the risk budget to reinvest in the Satellite.

In a DALM, the fund would move into the LHP (very much like in an LDI approach); if the LHP is a perfect hedge for liabilities, new risk budget will come from new contributions; if there is some risk left in the LHP, new risk budget will come from a positive move of assets with respect to liabilities and/or from new contributions.