Non-Sachen multicarts don't modify the logo, so there's no reason they wouldn't work AFAIK.
Sachen's later carts were fixed to work in later consoles though - whether it'll work in your Game Boy or not seems to depend on when it was released. For example, my copy of Beast Fighter works in a GBC and GBA, but not GBA SP or Game Boy Player. But I have a 31 in 1 Sachen multicart (possibly one of the last things they released for the GB) which works in everything.
There are tricks to get non-working games working using cheat cartridges, too - for example you can make Gowin games work on a Super Game Boy using an Action Replay:
http://www.youtube.com/watch?v=xz4licd-5lY
I've also had some success (it works maybe 1/10 times) running Beast Fighter on my GBA SP or GB Player through a Game Genie.
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