Corruption induced by Bad Clone unterminated names are based on hard-to-predict things (somewhat similarly to Cooltrainer corruptions); mostly the content of buffers. You might not have any issues with your game, but then someday you play with your Bad Clone and your game start freezing

Also you appear to be confusing two Bad Clones characteristics here. Every Bad Clone has an unterminated name, but this characteristic has no utility in G/S because the game doesn't read that name

Any glitch that relies on the unterminated name (Crystal-only glitches, then), such as the original Bad Clone Trick, Bad Clone ACE, etc. can be performed with any Bad Clone because ALL Bad Clones have unterminated names. Aside from this, we can distinguish two classes of Bad Clones:
- Incomplete Bad Clones, which is a normal clone but with some missing data (at least an unterminated name, but it can also be lvl0, has no ID, no moves, etc.)
- Full Bad Clones, which always are unstable hybrids of the Pokémon used for cloning and the absence of Pokémon - as a result every single data from this Pokémon, including its Pokédex number, is missing; and if this Bad Clone is given to the Daycare, it will stabilize into Glitch Pokémon hex:00.
The only distinguishable marker between Incomplete and Full BCs is the Pokédex number in the profile. The fact that it is lvl 0, female and stuff is not sufficient - if the Pokédex number is not 0, the Pokémon won't turn into a Glitch Pokémon hex:00

Having a Full Bad Clone is not important for Crystal glitches relying on unterminated name, because this is a different thing that is shared by every Bad Clone. However, if you intend to use a glitch that requires a Glitch Pokémon hex:00 (such as the modern Bad Clone Trick) then you will need a Full Bad Clone.
It is important to note that this is rarely done in Crystal because using unterminated name-based glitches are as powerful as Glitch Pokémon hex:00-based glitches; but using the aforementioned corruption in Crystal, you can turn any Incomplete Bad Clone into an hybrid, which gives him the possibility to turn into a Glitch Pokémon hex:00 and enjoy any glitch anyway without having to specifically generate a Full Bad Clone

. To that extent, Crystal is a good game for Bad Cloning.