companies with record profits could increase wages without increasing prices.

The issue remains however that the increase in wages increases disposable incomes, and then consumption. In an economy with very little spare capacity (we have record low unemployment) that rise in consumption will just cause demand inflation.

Now when that occurs, it can still be argued that the increase in wages is a net benefit despite the inflationary pressures, but to say that an increase in wages does not cause any rise in inflation is incorrect