Sample Rate Converted??

I have made a stupid schoolboy error and wonder if somebody could please help me think through the implications.

I have a load of old 16/44.1 files and have recently spent some time starting to polish them up.

First step was to convert to 24 bit followed by processing (EQ, compression, etc,).

I was pleased with the results so it wasn’t until much later I realised that the format I was rendering to was 24/96 left over from my last project.

However, I had not performed any SRC to go from 44.1 to 96.

Are these newly rendered files now damaged, or can I simply (batch?) convert to 24/44.1 with no practical difference compared to had I done this initially?

Thanks for any clues.