As others have said, a battery smooths things out. But there's more to it. SCC is solar
charge controller. It's designed to charge a battery. The instruction manual says to connect the battery first, before connecting panels or loads. So the entire idea of running without a battery is contrary to the design and may damage the SCC.
You could ditch the controller and simply use a DC-DC converter. It's not efficient, but if you pay close attention to the details it can work. And without a buffer you may experience a "power outage" every time a cloud passes over or a bird perches on your panel and shades part of it.
This article talks about why a SCC doesn't work. It also mentions the DC-DC converter approach.
Final note. Please keep in mind that a "cheap scc"
does not output 12V at the load port. PWMs just pass voltage through to the battery and load. Connecting a panel and discharged battery together via a PWM is the same as connecting the panel directly to the battery.
While charging panels, battery and load are all at the same voltage, usually around 13-14V. It's not until battery reaches 80-90% SOC (about 14.5V for lead-acid) that the PWM controller really does anything to regulate output. And even then, it just very rapidly alternates between shorting the panels directly to the battery and disconnecting them completely. It works, but it's pretty crude.
MPPTs are different. They have a DC-DC converter inside. But they're also designed to charge a battery. And the ones I've seen simply pass battery voltage straight through to the load terminals. The panels will be at a different (likely much higher) voltage, but battery and load are the same. In theory it might be possible for a MPPT to use its internal DC-DC converter to power loads without a battery, but I don't know of any designed to support that.