Why don't we just leave 'Pets at Home' to sort it out for themselves.
Because they clearly cant without causing more risk to their employees, their employees kids, teachers and the general public.
It is an interesting moral issue - are humans more important than other animals? Indeed does the virus have as much right to life as humans
No animals are being kept alive at the expense of humans. Pets do not need killings since the vast majority (probably all) will not impact an humans ability to survive the virus.