What they were, therefore, had no further purpose in the context of their achievement.

After a key item is used, it usually remains in the player's inventory permanently, but serves no further purpose.

These were names in legend, and now they don't serve any further purpose so we won't use them.

"I see no further purpose to be served by this session," the alien finally announced.

But beyond it, The Shadow could see a further purpose.

It quailed the mobsters, for the moment; the next act came with further purpose.

Or is there yet a further purpose to your visit?

Three hundred big Electro-boats were on order, but to no further purpose.

If the gorillas are gone, then there's no further purpose for this reserve, is there?

Clearly, the hamza of al- does not drop in this case, even though there is no further purpose for it.