The decrease of real unemployment benefits also reduces frictional unemployment, since fewer people will be willing to try to look for a better job and the time they spend on looking for a new job will be lowered, leading to inefficient allocation of labour and thus lower performance of the economy.
It would also lead to slower rise of salaries on the lower end of the spectrum, since the income difference between low-skilled employed labour and unemployed labour would be greater in the short-term. Wage stickiness would prevent a fall in low-end salaries but they would rise less in the mid-term than if the unemployment benefits stayed the same. Long-term wise, both unemployed and lower wage workers would be worse off, possibly making more of them dependant on other sorts of government handouts. This might also eventually lead to decreasing the size of the labour force - students might want to study longer than work for relatively less or risk lower-earning unemployment, parents might want to stay home with little children longer for the same reason, people nearing retirement might retire prematurely for the same reason.
I think the relation is:
lower unemployment benefits -> higher employment though less efficiently allocated, lower involuntary unemployment (unemployed must work to retain the same living standards), lower voluntary unemployment (workers are less willing to risk unemployment), smaller labour force (people at the lower-end wage with possibilities to avoid being part of the labor force will be more willing to do so).
higher unemployment benefits -> lower employment though more efficiently allocated, higher involuntary unemployment, higher voluntary unemployment, bigger labour force.