@wizard :-
Yup, Peter's right. Up till around 2019, Chrome/Chromium was happy with SSE2s. Google - thru the Chromium Project - then had a major re-jig of their compiling environment, and added the requirement for SSE3s....
Your Mobile Sempron 3300+ has those SSE3s:-
Mobile Sempron 3300+ @ cpuworld.com
The Pentium M - like ALL 32-bit P4-gen CPUs - was stuck on SSE2s. Intel had added the Enhanced Speedstep stuff and had re-built the Pentium Ms with the older P5 architecture from the Pentium IIIs (this was to morph into the later 'Core' architecture), but the existing instruction sets stayed the same. 64-bit P4s had SSE3s, which worked nicely, since at that time Chrome itself had gone to 64-bit only anyway.....though, as has been noted in another recent thread, because the source code for Chromium is freely available, 32-bit builds of Chromium are still possible.
The requirement for those SSE3s, however, remains...
As I've explained before, the fact that Chromium is "noisy" in the terminal means very little; it does this even with an "official" install on a mainstream distro. One of the requirements that Google stipulated, when they assembled their browser dev team back in 2007/8, was for an ongoing "live" debug report to run continuously in the background while the browser was active; the whole purpose of this was to enable faster patching as bugs were discovered, and is mostly automated thru the project's fleet of semi-autonomous "build-bots", which run constantly, 24/7, all year round. It's still with us, to this day!
Mike.