Absolutely false.
Buy FLStudio Fruity edition for $99. This is not the drum machine version, it includes piano roll, and I used this version for years.I bought the Fruity Soundfont Player for $30, but there's a free alternative, so you can use soundfonts.I have quite a number of remixes posted to this site that were made using FLStudio Fruity Edition and freely available soundfonts. If $100 is your absolute cap, you can get by just fine.
And even then, why is the ultimate goal in remixing to get a song posted to OCR? If this guy wants to remix, then he wants to remix. Plenty of people make lots of music and don't even care about submitting or the Judges Panel or OCR's standards or anything like that. They just do it for their own sake. Hell, I've got a couple of remixes that I don't plan on ever submitting to OCR. They're for my own enjoyment.
Remixing video game music is a hobby; it's not an all-or-nothing field of expertise. Don't discourage someone just because they say they're not going to spend night and day at the DAW cooking up phat beats.