I collected unemployment taxes from employers for many years. Unemployment is not taxpayer funded, except that it is set up by and funded by the state government in each state. NOT A DIME OF THE WORKER'S SALARY IS TAKEN OUT FOR UNEMPLOYMENT BENFITS IN ANY STATE IN THE UNION except for that part you pay in federal income tax which may trickle down to some small extent into the federal extensions now in force. (And nobody please chime in and tell me it's different in Rhode Island, or Hawaii, or somewhere. It's not.)
Every business with a certain number of employees must pay unemployment taxes on the first so many dollars of each employees' salary. They submit these taxes to the state, and each employer has a business account and is taxed at a certain rate. This rate is based on several factors, the reserve, the general unemployment rate of the state and nation over-all and something called the "experience rating" which means that whether you have a high tax rate is based partially on your past record of letting employees go who received benefits.
Seasonal businesses and cyclical businesses where people are going to receive benefits regularly as a part of the nature of the work pay astronomical tax rates. Employers who like the luxury of firing employees on whim, because THEY are having a bad day will pay a higher rate, because in order to fire someone and keep them from receiving benefits, the employer must present documentation that they had a good misconduct reason for letting the employee go.
Usually, if they had a good misconduct reason to terminate someone, the employer is not going to feel charitable toward this former employee. Even if it were scott free to the employee who is losing his/her job through no fault of his own (as the federal extensions are, which do not affect the state's employers rates and are not taken from the state's unemployment fund) an employer, or a state unemployment system is going to have a serious problem with someone receiving benefits who warmly and richly did deserve their termination due to laying out of work, persistent misconduct, or major misconduct such as stealing.
Some employers deeply resent having to pay unemployment taxes at all, and will violate the state and federal laws which prohibit employers from trying to keep their employees from filing for benefits when they are genuinely eligible. In this case, the appeals process protects the former employees.
Likewise, some construction companies who pay maximum rates will never contest anything, getting rid of problem employees by giving them a separation due to lack of work and never recalling them. These people can lose their benefits anyway if they do not cooperate with the job finding activities required of them by the state unemployment system.
So contesting a claim for unemployment insurance is a good business move, as it keeps the employer's tax rate from going up, and if they have terminated this employee for a good reason, they are acting in the company's best interest to follow through on the hearing process and make sure no one draws who is not legally entitled to do so.
Even when the employer does not contest the claim, there have been many cases where the person was denied benefits by the unemployment office if it was determined they had control over their reason for termination and it does not meet the requirement to draw.