What could you possibly be doing to feel such a need?
I like to micro-manage That's how I play these games. I also like to follow all the goings-on across the map - all the various character interactions and wars both major and minor, even when I'm just playing a lowly count. The current minimum speed is OK for that, although it could be a tad slower.
I remember a thread a while back (before we lost the old minimum speed) where people were saying what speed they were playing at. I was amazed to be honest. I expected most people would be playing at 1. I find it hard to understand how people could feel they were getting much out of the game at all playing faster than that and yet that's how a lot of people are playing apparently. They must be after a different experience. That's the only explanation.
When I'm playing a large-ish empire though, as I have been lately, especially when I get in a situation where I have several wars on the go with all the troop and fleet movements to coordinate and the AI armies to keep an eye on in every corner of the map the current minimum speed is just unworkable. For one thing I've had to set army arrivals as an important notification so I don't lose track of any of them and, to give you an idea, in my last session I was averaging between one and three important notifications a day over a period of two in-game months.
I play almost always on speed 1 too! Well sometimes on 2 when there's not really that much happening. Only real exception is for the first 3-5 years of a new campaign, after the initial "20min pause to set it all up" phase. This is where I *might* go up to 3, sometimes even 4 inbetween the odd pause to just look around for what else is happening in the world. Never used 5 though IIRC.
In wars I play on "speed 0.1", always: pause -> direct armies/navies -> unpause -> check arrival dates -> add in several pauses/unpauses to adjust for AI movements -> unpause -> pause after battles -> repeat until the war is won. Oddly enough I didn't even notice they upped the speed a bit, probably because I use space so much.
I played my first game through, beginning to end on speed 1 with the odd foray in to speed 2 when I was waiting for something specific to happen. I did it because I liked watching everything, planning things without having to pause all the time, and because it helped me deal with the AIs perfect timing for army movement when I was at war. Nothing worse than losing a army to one you could have escaped if you were faster off the mark.
My second playthrough using the DLC, and I've migrated to speed 2 (which is really speed 3) as my default. I'm enjoying it still, but I don't feel the attachment to my characters that I did the first time around. They're gone before I get to know them.