I have no experiances with a direct-extruder at all and the Anet specially. But I known a lot of people who are very pleased with it after some improvements.
The pics are showing always the first layer?
If Yes, than there are some issues in the marked area or nearby.
Do you print online by USB from pc or with a SD-card standing alone (so as I do)?
What I believe to see is that the printhead is comming from the right side, going to the left. The printed rope becomes thin. Why???
At the edge it seems that the printer paused (loading commands, baud to low?) and the nozzle lost some material to a thick bobble. Why???
After that it is going to SE and would print the rope to righthand. But there was ether no extrusion or the material does not stick to the bed and the nozzle pulled it away. Why ???
My printer is a Mankati XP from 2014 and I don't know how many spools / kilos of material I have processed in the meantime but it was a lot.
All the time I had 2 spools given back because I couldn't print out anything. After 2 layers the nozzle blocked - why ever (both PLA & ABS silver).
All other problems were caused by non optimal settings. But I guess that 90% of my prints are very fine by the first try.
Temperature, I print as low as possible - following my own test by hand (see above), the suggestion of the manufacturer is only a beginning point, maybe to high or to low because the printers print-temperature is subjective and individually.
First Layer - the print bed has a distance of 0.15 mm to the nozzle. When LayerHigh is 0.15 - 0.20 I set always 120% for the 1stLayer and 130 - 150 % for extrusion - for all materials, speed 50% (from 60 - 80 mm/s standard). Additionally I set in menue G-Code Z to -0.05mm (negative!).
Cooling, I use anytime min 10% for all materials because the fan wind stabilize the temperature to +/- 1°; PLA and similar material I increase it step by step (e.g. 3., 6., 10. ... layer) up to 70 - 90 %, rarely 100%. PLA, its derivates, PETG are not printable for me without cooling, so as ABS and ASA crashes with it (...10% max).
AND when changing a material-spool I print some test-cubs to adjust my settings.
PS.: there are existing some ABS or ASA filaments with very low or without warping. An additional advantage it will be the lower spec weight 1.25 : 1.05 that makes ~ -20% for your application and the much better temperature manner.