Don’t worry, this is COMPLETELY NORMAL. Speedometer 2.1 measures web browsing performance and is entirely based on single core speeds. The M2 series is based on a second-gen 5nm transistor process and had single core clock speeds of up to 3.49 GHz. However, the M2 Max (and Ultra = 2x Max) could boost up to 3.67 GHz on a single core. Yet this is still lower than the M3 with its new 3nm transistor design, which can boost a single core up to 4.05 GHz.
So technically, theoretical “snappiness” of web browsing could be marginally better on M3, but trust me it won’t make a difference. And since the M2 Max is a 12-core CPU with 8 performance and 4 efficiency cores, while the M3 is an 8-core CPU with only 4 P and 4 E cores, the M2 Max is still going to be way more powerful. Think of it as, the A-series chips (in your iPhone) are like cars and trucks, the M3 is a big 18-wheeler, and the M2 Max is a diesel train. They can all be fast and powerful, but one stands out as being nearly impossible to bog down. And we haven’t even touched the M2 Max’s graphics which are more than 3 times the power of M3…
And hey, just for reference, my Speedometer 2.1 scores in Safari, macOS 14.3.1, no extensions (in other words, optimized for speed) are 562 on my 16” M2 Max MacBook Pro, and 595 on my 24” M3 iMac. These are both top-range scores even for these devices, so your M3 is already above average!