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You can run all that off 3 chargers worth of batteries
Obviously some of those tools can't be run off a battery. Large breaker and large sds being the obvious ones you can get a battery operated compressor but the tank is tiny and much beyond 3/4 charge on the battery the compressor itself can't keep up with really heavy continuous use.
But yeah if you're talking some of the big modern batteries (DeWalt flexvolt is the only one I've had any personal experience with). You can - your battery outlay is huge.
You can run all that off 3 chargers worth of batteries?! I guess you're not using all of them at once so can rotate.
I get the utility of battery stuff but if you're PAT testing 1 thing you might as well do 20. Then again we do in-house PAT testing so it's not big deal or cost to maintain the list and add new stuff. Plus the focus is on process rather than occupational safety so 'good working order' is specified on RAMS/etc rather than PAT testing, especially as it's no longer a a legal requirement.