I leave the cart on the atomizer overnight and have a few puffs in the morning, but at the time I'm usually simultaneously filling a fresh cart. I usually fill carts just before I use them. They just seem to work better for me that way. After using a cart I pull the filler out a little and fluff it (with a bent paperclip, what else?) and push it back in before refilling. I also switch out carts and cart filler pretty frequently. I think the cart filler gets worse at wicking each time it is used. After 3-4 times, especially with a tobacco-flavored ejuice (that has particulates), it just seems to be bad at wicking juice up to the atty, requiring more thermometer-style shaking, which I have no doubt puts stress on the atty wires (see below).
I think the bulk of the fluid that comes out when you blow out an atty is not bad gunk, it's just the eFluid the metal foam pot around the coil has wicked up. I religiously blew out attys every evening for some time and the only difference I noticed from not blowing them out was that in the morning it took several minutes with a fresh cart attached before they were ready to use - I assume because they had to wick up all that displaced fluid. I still think it's reasonable to occasionally blow one out, particularly to get a strong flavor out faster. But I haven't noticed any difference in lifespan for blowing out attys. If anything, I wonder if blowing out attys, particularly with pressurized air, could possibly put stress on those tiny little wires in there that connect the battery connector to the coil and shorten their lifespan, and thus the atty's. One thing blowing on an atty will not do is get the gunk out of the coil itself, and that is the real killer of attys from what I gather.
So, I don't think the morning routine is that important. It should be something that best fits your needs. Attys are unfortunately limited lifespan disposable parts, you should have spares at all times. I suggest perhaps to help them last longer, try to keep from overheating them or subjecting them to frequent or violent physical shocks and vibrations.
Welcome. You seem to have had a lot of experience prior to joining the forum. If you haven't tried it, give the straw mod a chance to solve some of your juice flow problems. PTB or spring mod might help too.