It's not illegal to not use an autoclave in the beauty industry, however if you are not using one, you can not mislead clients in to believing tools are 'sterile' or 'sterilised' when they are clearly not.
They are disinfected using cold disinfection I.e Mundo etc
Sterilisation happens at 134oc and at 2.2 bar pressure in an autoclave
Milton baby bottled sterilising tablets dont sterilise, it is cold disinfection, as it can not kill some spores and viruses
If Milton did sterilise stuff the medical and dental infection control guidelines would not state we have to use autoclaves, instead we would use bleach or good old milton etc