Just to summarise a few things.
when we design wiring for electrical loads we have to consider the following in order.
The voltage of the system we are working on, because if system is very low voltage like our 12 or 24 volt boats and cars we can not afford to have much at all go missing, in some things 1 volt of voltage drop in a 12 volt system is a real problem
The current drawn by the piece of equipment, remember the item particularly a motor may draw very much more than its rated or more than the fuse or breaker for a short time or under certain situations...... fuses & breakers will hold twice their rated for a specified time often 60 seconds.
The circuit distance, remember this must go all the way back to the source of supply and in our boats the distance from the positive to the item and back again to the negative......usually twice the cable run distance
Current carying capacity of the wire, we calculate only on the crosss-sectional area of the conductors. The current carrying capacity of the wire as listed will be at 20 or 25 deg celcius, and in open air so if the wire is going somewhere hot like an engine bay or tied up in a bundle we have to consider that and go heavier
The voltage drop of the whole circuit, bassed on the wire size, the circuit distance and the current drawn. Once we get into heavier drawing items this will over ride our current carrying capacity selection.
Select circuit protection, this can be a bit more complicated, we want a fuse or breaker that will allow the item to operate, but will trip quickly under overload.
Certainly we want a breaker that will not allow the wiring to melt or burn.
Quite often our wire selections are restriced to one of a few choices that are available.
Remember we need to be talking in terms of cross sectional area (10mm2), in auto and marine electrical it is common to talk in terms of the nomonal outside diameter of the insulation which is most misleading.
6mm automotive wire is infact approximately 4.6mm2...and it gets worse in smaller sizes.
While we suposedly live in a metricated country, all the sizes and strandings of automotive & marine cable are derived from the US system and often sold in US guage.
OH hell I wish they would just call a spade a spade and tell us the cross sectional area in mm2.
as for the anchor winch.....unless you are running a long way....10mm2 twin would be a reasonable choice.....ya might get away with 6mm2.....but I recon 25mm2 might be a bit of overkill...... but there is no harm in that.
6mm automotive twin (4.6mm2) would probaly work and may not burn, but it may be a very sad thing.........there is nothing more pitifull than the sound of a winch motor starved for voltage & current.
cheers