The HP will not fill up with lube. You use SO little of the lube that it leaves an almost invisible film on them and a little residue in the container used to "tumble." You're not submerging the bullets in a vat of liquid (not being a smart-a).
After I've lubed my bullets, they just barley glisten, until dry, which doesn't take long at all. Once dry, I cannot tell if they've been lubed unless I sniff them. When I share bullets, I remind whoever is using them that they ARE LUBED! "If you don't believe me, SMELL THEM."
One way I've found to get the most out of a pea-sized blob of my TL (for a hundred 357s - adjust to your preferences) is to use a heavy-duty, quart-sized zip-lock freezer bag. I warm the bullets, so the blob melts and makes it easier to spread on them and then knead the bag full of warm bullets for about a minute. Unzip and they glisten. Dump on waxed paper and let dry.
There's never enough to fill up a HP cavity, let alone several or all. In fact, the blob of lube I use for a hundred or so bullets would probably only fill 1 1/2 to 2 large HP cavities in the only HP mould I use any more - a 158 grain HP RF from MP.