I intentionally did NOT read the other replies this time just to assure objectivity. Someone else may burst one of my little bubbles and I am not prepared to face it just this moment if what I'm doing isn't right.
Why I do it:
The liquid lubes work for my shooting and work very well - no compromises;
I'm actually shooting better groups with less effort;
My bores stay cleaner longer; (have never HAD to clean one, but I have out of curiosity)
Liquid lubes don't get too hard in the winter or too soft in the summer (on a bullet or in the sizer);
I never have gooey bullets;
The entire surface of my bullets are protected from the adverse effects of the adverse climate where I store them;
They suit the batch processing methods that I have to use because of many other household/work obligations and very little free time;
It's incredibly cheap;
It's incredibly easy;
It's incredibly time efficient;
I can store bulk bullets all jumbled in a can;
The equipment required consists of a quart zip-lock freezer bag;
The materials are easy to source, cheap and uncomplicated;
My revolvers are cleaner when I finish shooting, which is not a huge deal, but worthy of note;
I don't have to worry about lube sticks melting/deforming while in storage;
The materials/"equipment" requires very little storage space;
I like the smell - sort of like crayons;
I HATE using my antique Lyman lubricator/sizer and the monotony and tedium involved drives me buggy. I don't get in a hurry but I have to be extremely time-efficient in everything I do or I'll be behind for a month.
There's probably more, but in all the years I've cast, I've never considered it to be too much a bother to lube/size conventionally for any shooting BUT the 45 ACP. I shot enough of that that I bought commercially cast bullets in order to keep up. Eventually, I figured out what to do with that "free" bottle of "ick" that came with LEE sizer dies - coat the commercial cast bullets with it - fistfuls of them at a time, and they didn't lead any more. I used straight LLA and that had its many disadvantages. Once I got my head out of my butt and learned to thin LLA, I started trying it on other stuff and it worked so well that I have almost completely given up on my old Lyman sizer.
I don't shoot competitively and I have adapted to numerous conditions some would consider a compromise or limitation. When I need to keep varmints and predators at bay, I have everything I need. If I were to need to subsistence-hunt, I have all I could ask for. For personal protection, whatever "coyote load" I have chambered will do just fine. 99% of my limited shooting these days is goofing off, and this lube method suits that just as well as anything. I'm not giving up much as far as I can see, but I haven't gotten to run my new battery through its paces at 100 and 200 yards and I'm not yet pushing anything over 2k fps.
Liquid lubes have become a panacea to me personally, but I realize they won't suit all of everyone's applications and I do still drag out the Lyman 45 once in a while just to see if the old "NRA Formula" in it will do something my liquid lubes won't. So far - not - at least not for what I am doing. I will still probably eventually mix up some Ben's Red though. Have to keep an open mind and keep options open - as long as they're cheap and easy options.
Really, what I'm doing is simply creating a challenging situation for myself, and that's what we all do if we care to admit it. Otherwise, we'd shoot nothing but match grade ammo in $3,000 custom rifles under the best of conditions. Even then, we'd be still challenging ourselves - our physical and mental ability to "keep up" with the "perfect" materials and equipment.
Wha.... waaaait a minute. How'd I get up here on this soap-box?