Not paying you for export encourages several alternatives.
1. size your PV array so it won't export - not terrible practical as most homes have a baseload unoccupied daytime requirement of a fridge / freezer and a few bits on standby.
2. Install batteries - costs are dropping fast to maximise onsite usage.
3. Install smart devices to aid self-consumption, e.g. products from these people
https://myenergi.uk/ Excess summer generation can be a problem - especially on sunny, windy days when the turbines are generating full pelt too. This is particularly true at a local level where excess generation is connected to the local Distribution Network Operating wires rather than directly into the national transmission system. However, this is readily surmountable with a combination of improved networks, local storage, suitable market price signals and smart time of use consumption. Other markets with higher levels of renewables deployment manage ok.
I don't buy the argument that all of this adds cost to consumer bills. The fossil fuel generators haven't been adequately charged for their emissions for decades. The "social" cost of carbon (as opposed to the market cost) is estimated at around $200/tonne once you factor in air quality issues (25-40000 excess UK deaths per year attributed to pollution, not all from power generation obviously). Once you factor that cost into conventional generation, resolving renewables issues seems pretty good value. But ultimately the logical course of action is improved energy efficiency and avoided energy demand above all else.