I have limited experience, having only had my 10x14 springbar out once, and it came home a bit damp, but not even remotely soaked.
In my case, the 80-ish pounds of canvas (dry) isn't much fun to deal with. It got hung up in the garage and draped over a couple sawhorses to try to allow more air in/around. A box fan pointed at the tent and a dehumidifier in the garage dried it out in 24 hours, probably a lot sooner, but I was busy with other post-camping chores and didn't get back out to check on it. The dehumidifier I think is the key. If you can pull the water out of the air, the air can pull more water out of the tent.
While waiting for their "storm fly" to come in, I picked up a 14x20 polyester tarp from amazon (not the cheap hardware store kind, the other inexpensive kind that doesn't suffer from stretching-when-wet like nylon does) with the idea that if I can keep the canvas tent to merely "damp", it's worth the effort of putting up.
But yes, the whole process has rather turned it into a "use it if I'll be in one spot for a week" type deal. It's a great tent. But it is a lot of work.
If I'm just going out for a few days, I'm much more likely to take a synthetic tent. If I'm just going out for an overnight or a weekend, I'm almost more likely to just take a tarp to relax/cook under, and sleep in the SUV, especially if there's going to be rain the night before I leave. It's even easier to dry out just a tarp than it is to dry out even a small synthetic tent (and tarp).