I plan to get back into the main story progression after the next update hopefully! The next update itself will sort of be plot related too, though it will be more optional than the actual main plot line.
Slime Cores and Typhoon Spears have a massively smaller chance to drop compared to Honey. Honey is 12.5% chance, a Typhoon Spear is 5% and I don't recall the Slime Cores drop chance of the top of my head but it should be around 5% too.
These percentages are not affected by Luck stat, though in the future I might redo how the Monster Loot is calculated to include Luck in the calculation.