I'm not sure I'm going to say anything that's not already been posted, but Pneumatics and corded tools offer a lot of benefit over Cordless in many situations. I personally only own 2 battery operated tools. A drill, and an impact driver, and have no interest in much else. I might buy a battery powered hedge trimmer...but that will probably be it.
For me, as a DIY mechanic/homeowner/woodworker/whatever the ****, I just can't get super excited about battery operated tools. First, none of the projects I do are super time constrained, so running an extension cord or air hose (within reason) isn't a huge deal to me.
Battery power is convenient, but there are several things I value over convenience. They are as follows:
1. Service life. While a battery powered tool may be built well enough to last a long time, the batteries (which cost more than the tools most of the time) are consumable and eventually...they're going to stop making them. Go talk to all the Craftsman C3 guys right about now. They're anxious about solutions to this problem now that SBD has moved to a new line. My old Craftsman 113 Table Saw or my Ingersoll Rand Pneumatic Impact Wrench...those are lifetime tools, multiple lifetime tools really if cared for. On top of that, go work with a cordless impact with that rubber overmolding on it for 20 years in the shop with grease and solvents and see how it looks compared to an all metal constructed air impact.
2. Performance - If I'm running an impact wrench...I want the fucker to hit as hard as possible. I don't care what these manufactuers say, I'll put a quality pneumatic gun (running at an appropriate 150psi) up against a cordless one any day of the week.
3. Size - Pneumatics are WAY smaller. I just bought a Carlyle stubby impact and that thing is the BOMB. No battery powered tool gives me the option to put several hundred ft-lbs of torque on a fastener in confined spaces.
4. Run time - Nothing annoys me more than being in the middle of using a tool only to have the thing shut off and need to be charged. Can you get around this issue with cordless? Yeah...sort of...but you've got to buy extra batteries. I have an M18 drill/driver combo kit and it came with 2 batteries. Now lets say I'm assembling a woodworking project, using the drill to drill pilot holes and the driver to run in screws...what do I do when they both die simultaneously?.....I wait...quite a while. I could of course go spend several hundred more dollars on more batteries, but I could also just drag out my corded drill and run it from now until the end of time.
I don't want to trash on cordless too much. They've come a long ways, and have a lot of applications. For me though...they're mostly all a hard pass.