Nevermind — there are ways for deleting colliding items to cause other colliding items to be “forgotten”, and one solution would be to implement slot cycling on deletion
Another solution could be tombstones: When a slot gets cleared and the next slot has an item, insert a placeholder value. During linear probing, treat the placeholder as a normal item (that doesn't match); during insertion & deletion treat the placeholder as an empty slot.
Another solution could be tombstones: When a slot gets cleared and the next slot has an item, insert a placeholder value. During linear probing, treat the placeholder as a normal item (that doesn't match); during insertion & deletion treat the placeholder as an empty slot.