[General] surface cut vs surface wound

[kompstar]

Hello.

I'm wondering if the sentences below are correct and natural. If "yes", is there any big difference in meaning between them?

1. It is just a surface cut.

2. It is just a surface wound.

 

[Skrej]

You may also hear such injuries referred to as 'flesh wounds'.

 

[Rover_KE]

... or 'superficial wounds'.