Black currant healthy or not...

Hello,
I just got my allotment, and what I have there are very old (in my opinion) blackcurrants. Please see the attached picture. Google told me they are infected by some fungi and need to be removed, but to be honest, they smell divine even though I see they are overgrown and quite old. I need to ask second opinion. Could you help, please?

 

-Ignore Google
-Pause
-Wait for more responses

 

It needs a good prune, I'd remove perhaps half the branches coming from the base, any crossing branches and any obviously dead growth.
I wonder if it could be a red currant rather than a black currant.