I am looking at installing a Carrier furnace: 59MN7A060V17-14.

The product booklet says ‘Fully Modulating Gas Valve — When paired with the InfinityR control, this furnace improves comfort by adjusting heating output in 1% increments from 40% to 100% capacity to meet the heating needs of the home.’

'M' in the furnace model number stands for modulating but this 'When paired with the InfinityR control' has me 'worried'.

Is the furnace modulating only with this control?

The contractor told me the control would cost extra, the improvement in efficiency would be negligible and the furnace would be still modulating without it.

I would like to confirm it.