That says a lot for the Aldi machine then!
My light weight canvas tarp is actually pillow case lining cotton cambric (light, strong and windproof) that I have proofed with wax on the seams and Fabsil elsewhere - it has kept out water even when I have brushed against the inside.... it has stood up well to all sorts of weather including named storms and sunny (UV rich) summer weather for something like 5 years so far and is comparatively quiet in the rain - compared to nylon!
In the past I have also made tarps from 4oz PU proofed nylon and have done major adjustments to silnylon tarps as well as making canoe sails from Sil-nylon rip stop.
None presented any problems for my domestic machines.
My big issues with sewing tarps has always been getting the fabric to feed evenly - the weight of the fabric has to be well supported either side of the feed dogs or gravity is your enemy!
Corners
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I did add webbing to the ridge - but as an afterthought on this one - and to make the tie outs just extended the webbing and made an integral loop in the end - the photos
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not great shots.... note the internal hanging point...