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If you're doing heavy color grading or working with multiple layers of effects, the M4's extra GPU cores really shine where M3 starts to feel the squeeze. The difference isn't as dramatic for basic editing, but once you're pushing things - especially with 4K or higher - you'll notice M3 might make you wait longer between actions. That said, M3 absolutely still works fine for Final Cut Pro; it's more about how much patience you have when the timeline gets complex.
The M4 is noticeably faster than M3, so yeah, it'll handle Final Cut Pro smoother - you'll get quicker renders, faster scrubbing through timelines, and better performance with effects. That said, M3 handles FCP totally fine for most projects, so unless you're doing heavy 4K editing or tons of color grading, the difference might not be worth the upgrade cost. If you're doing professional work or working with demanding formats regularly, M4 gives you more headroom to grow into.
Both chips will run Final Cut Pro smoothly, but the gap widens depending on what you're actually editing. For straightforward cuts and basic color work, an M3 handles things just fine - you won't notice much difference in day-to-day use. Where the M4 pulls ahead is sustained performance: longer render times, working with 4K or higher resolution footage, stacking effects, or anything that taxes the GPU consistently. The extra cores help the M4 stay cool under pressure rather than throttling back.
That said, if budget's a factor, don't let this push you toward the M4. An M3 MacBook Pro is still a solid machine for Final Cut Pro, and you'll only really feel cramped if you're doing heavy professional work with large projects. The real difference shows up when you're juggling multiple timelines or doing intensive color grading sessions where you want renders to finish in reasonable time.
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