We shared my mums care and did as much as each other, but it was split mostly "traditionally". Brothers took care of all house/garden maintenance, kept on top of finances getting best deals for utilites, organising POA, wills etc. My sister and I took care of grocery deliveries, clothes, toiletries etc as mum herself felt more comfortable with that. We all regularly took portions of our own family meals to her. Mum managed her own personal care.
We shared hospital/drs/dentist/opticians etc appointments between all of us depending on who was available as we all worked FT. We also shared getting hospital transport, home adaptions, carers etc. We had a rota between all of us for visiting so we didnt all show up on Saturday and she had no one popping in mid week.
One brother stayed further away so couldnt help with day to day stuff but he would come and visit/stay for a week or more a few times a year and tackle big jobs such as painting fences/shed, redecorating etc. He would also come and stay sometimes after a hospital discharge when she needed someone around more. He would sort out her shopping and food those weeks, and we could all visit less or just when we wanted to see him, giving us all a break.
Women tend to fall into the roles unless they speak up and say "how are we going to do this?"