I would say so, the majority of matrix out there are fakes, specially if used in a slim90k
In any case does not hurt to try, it should take 5-10 mins to get you setup. I have experienced some fakes that can save settings for a few use cases until they just stop doing it and reset to default.
If it fails, your options are what i said earlier, but since you have a modchip, either you get a burned copy of ulaunchelf, or somebody with a modded ps2 installs the payload to your MC, or buy a premade MC from any supplier
There might be some other options such as a memory card reader but those are probably obscure for your usage case
Older / less quality clones actually say 1.99, i have one such from my childhood ps2. newer clones say 1.93 since people caught on with the 1.99 being 100% fake
The original chip could be upgraded via software, meaning there are legit matrix out there running 1.93 without being tied to a taiwanese ps2. so your best bet is really just to try it out, as i said, some clones can do custom settings for a while, idk why. One of mine did until it stopped doing it