Yes, but I doubt the mesh system would work in my shed. For a start it has to travel through an interior wall, then a brick wall at the house, then 40 odd meters to the shed, then through a colourbond steel wall and a sheet of sarking, before it reaches the devices in the shed. The reason I do get sporadic wifi from my newer WAP in the house, is that it lines up with the glass doors at the back of the house, and the glass doors in the shed.
When I built my shed in Sep 2006, CAT 5E was available (since 2001), so that's what I used.. It actually replaced my original RG58/U Thin Ethernet cable network I had setup for my old shed..
https://www.flukenetworks.com/blog/cabling-chronicles/ethernet-cable-history