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The ten minute walk is from a couple of nightmare jobs I was on airside at Heathrow. That was a fucking nightmare as I had to go through airport security with my tools every time I went to work. One time I was taking a powder actuated nail gun through security and was selected for a random swab screen. Many bells and whistles went off and I spent a large portion of my shift sat in a small windowless room praying I wasn't going to be asked to bend over and grab my ankles.......
If you are running a chopsaw or table saw onsite you NEED to have a mains powered unit if it's going to see anything more than light use - on big sites the battery charging station could be a 10 minute walk away. Also battery table and chopsaws are no where near as powerful as the mains counterparts so will struggle with tricky timber or difficult cuts.
Myself and most of the other guys.i work with tend to have 3 of each tool (this list doesn't include small sds drills, comvi drills or impact drivers but does include the likes of drywall screwguns): one battery one for occasional use pottering around site ticking off jobs on a snagging list, 240v mains powered units for general domestic work, 110v for big sites. Obviously if you only do domestic you won't have many 110v tools and if you only do commercial you won't have any 240v tools for work.
Trades that are only on site for a limited time and then go will rely on battery units much more than any other trades because they don't have to worry about PAT testing as much or going through lengthy PAT test records with the PCs health and safety man.