If we look at who uses the road for a moment we can see (I think) that we all pay.
First, motorists include, all vehicles from, all the commercial activities, including lorries, buses, trams to smaller vans, and then business vehicles and services, including postal & couriers, all business travel, taxi's, chauffeurs, funeral (very apt for today especially

etc., etc.
Private vehicles, include all those who are travelling to work, visiting clients, or clients visiting those service or product facilities, then all the volunteer services, and so on & so on...
Pedestrians, are many of those who have travelled for every reason above and more, of course, as well as those who have arrived by other public transport services (trains & planes), and then those who live nearby and walk (jog etc.).
Cyclists, who might also be pedestrians at some point in their trip, and use the pavements and to differing degrees the road itself.
We all need to use the whole road network to survive (how else will foodstuffs, livestock, and all other purchased items be available for sale or delivered)?
If any one of those products or services are not on offer, then our choice is reduced, and that would see people complaining. Look what happens in the snow and when transport slows or halts, food supplies are reduced rapidly as people panic by.
Then all of us pay for Council Tax in our own area, and pay for other taxes to pay for those transport services, whether it is when we buy goods, or services, or more directly with road fund licences or other Council required licences or regular services. The the gov subsidies many transport services too.
Although cyclists, steam locomotives, horse riders and drivers, & skate borders are some of the few direct users of the road themselves, who do not pay a direct fee to anyone to travel on the road, they have likely contributed, when they buy goods and services albeit indirectly or when they pay their taxes.
Should they 'pay' to use the road, well what about if the government placed a tax on tyres for these modes of transport? If they did would that be some compensation? (Most horse driven carriages use 'tyred wheels' these days). The horsey people will likely say that most of the time they have to travel to locations, to follow their chosen pursuit, and so pay for fuel and vehicles duties anyway so in which case it is only those who do not travel, and only leave from home. Therefor is it then, only the local Councils who should receive an additional tax (if at all) for local road use by all these local based people ? But then we have council tax for that use (?)...
And isn't this the point, we do all pay through various means to provide for road networks for all of us to travel, to provide the products and services, and for all those who need to buy or receive, all those products and services ?