Working unofficially and unpaid after internship got cancelled, should one give full commitment if not intending to continue as a researcher? I am an undergraduate student who has signed up for a 4 months internship at a Canadian university with the Mitacs global intern program. 

The initial deal was to travel to the Canadian university for the internship where I would get paid and work closely with the supervisor.

Due to the pandemic, the trip was canceled and borders closed. The Mitacs organisation canceled the internships. However, as I didn't have any possible internship in my country, I agreed to continue the internship remotely by Skype without getting paid. 

The problem is that I usually have a strong work ethic, although I am definitely not continuing in research. I believe I should do my best at my current job. I don't think it's okay to lay back and not get it perfectly done but there is 0 motivation. 

The supervision is very minimal and I am not getting paid, plus home work. 

Finally, I am looking for advice. Should I continue my internship as a good committed person and work full time? Or should I work part time, get it done poorly and learn something for my career in the mean time?
Should you exchange your time for very minimal supervision (and no pay)? 

That depends on whether you perceive the value of very minimal supervision to outweigh the value of your time. 

You should consider whether alternative uses of your time (e.g., paid work, vacation, personal study, ...) are more valuable.