It might work---but will it work well? Tough to answer.
Subwoofer amplifiers from major manufacturers will have all sorts of filtering and limiters set precisely for their product. It's a one in a hundred shot that these two different subs from different manufacturers would have a similar filter structure. Now, if the filters are quite different the amp may still operate and provide bass for quite a long time. Or, it may operate and provide bass for quite a short time. There is just no way to say for certain. In either scenario....the bass may or may not be an accurate representation of the source material. By that I mean----the internal EQing is likely quite different between these amps too. So you will have some peaks/dips that you didn't have before. These could be minor and barely noticeable. Or, they could be major and very annoying. Again, impossible to say without electrically measuring each amp.
At the end of the day, I'd take the advice offered previously....look for a good $100-$200 subwoofer instead of spending $100 on an amp like this.
“Quality isn't expensive, it is priceless" --- fortune cookie