It is the opposite phenomenon that is at work, meaning that the higher the price rises, the faster emissions fall. It's the price increase that drives decarbonization, not the other way around. Therefore, the political goal of the market is the gradual increase in price to incentivize compliance entities to invest in decarbonization solutions.
The price represents a trade-off level between buying allowances and investing in decarbonization solutions. The more expensive the allowances are, the more competitive decarbonization solutions become.
This arbitrage depends on the marginal abatement cost for each industry. Thus, industries gradually reduce their emissions in line with the appreciation of the allowance price.