When a head gasket fails, it allows coolant and oil to mix, contaminating the oil. This can cause the hydraulic lifters to lose their prime and become noisy or even fail completely.
Additionally, the loss of coolant can lead to overheating, further damaging the engine and exacerbating the problem with the hydraulic lifters.
Therefore, it's crucial to address a blown head gasket promptly to minimize any potential damage to the hydraulic lifters and other engine components.