Will the synthetic rope be melted by winch?
The major enemy of synthetic line is heat
Synthetic rope has a few of disadvantages when compared to traditional wire rope. Critics found it heat sensitive for planetary winches.
The reason is:
Most planetary winch has a brake built into the winch drum. When powering out under load, the brake will generate significant heat causing it to heat up. And critically damage the rope.
Is there any way to be free of problems over heating and melting the rope?
Hereafter are our suggestions:
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First of all, if possible, consider a Wongs brand winch
Secondly, consider a worm gear winch
Worm gear winches won't have the heat problem since they need less braking action

Thirdly, use the winch properly in accordance with the manufacturer’s instructions
Use power out in short spurts only for relieving tension on the rope, not for extended distances, nor for lowering a load. It is always better to free spool line out verses under power. If you have to do it under power, then short bursts are best to manage heat.
If you often find the need to power out under load, you should consider the proper winch selection.

Fourthly, use a piece of heat protector
A protector covers the first wrap of rope against the drum, in theory, should help. And it's a simple way. In practice, it doesn't do much for heat.

Finally, consider a heat resistant rope
You may have enough of the high temperature resistance spliced onto the stronger rope to cover the drum area. And it makes things pretty complicate.