>You cannot process sugar cane into table sugar without an industrial plant.

That's obviously false.

The refined sugar you buy in the store ('table sugar') is clarified with phosphoric acid and bleached using a number of other chemicals. In addition to this, it goes though a number of other industrial processing steps that you would not be able to perform at home. Hence, it is 'highly processed'.

So you can make it at home using scary chemicals that you can easily buy online. You can't just say 'industrial processing' and 'chemicals' and be believed.

>You can process wheat into flour at home. You cannot process sugar cane into table sugar without an industrial plant.

That statement seemed off, so I poked around a little and, yes you can make granulated sugar from sugar cane at home[0].

[0] https://shuncy.com/article/how-to-make-sugar-from-sugarcane-...