Your question will be best answered by a real estate lawyer, as we can not practive law nor we are qualified to give that type of advice.
Given that disclosure I can tell you about what I understand. The anti-deficiency statute for mortgages applies only to â€œpurchase moneyâ€ mortgages, Accordingly, if a mortgage is not â€œpurchase moneyâ€, the mortgagee can seek a deficiency. So the general understanding is that the lender can seek a judgement and go after other assets, including other properties, your wages, etc... on HELOCs and other non-purchase money loans.
Again, we are no lawyers here and to be sure you should seek the advice of a lawyer or a qualified professional.