The answer to that question is complicated, because it depends on what you mean by the Tone, and where it's coming from.
Do you mean the Acoustic sound? The sound in the air, that's being pumped out of the soundholes, whether the bass is plugged in or not?
Or, do you mean the Electrified sound that's coming out of the speaker of the amplifier?
Those are two different things, which often get confused. The purely Acoustic sound depends heavily on the overall flexing of a thin top over a big open chamber. That's what pumps the air and makes the sound. The art and science of building acoustic guitars is all about making that thin-walled box flex and pump air.
A hollow-bodied electric bass isn't really designed to make Acoustic sound. It may make some noise out the soundholes, but that's accidental. The body is partially hollowed out to change the overall stiffness of the body, so the body flexes more as the strings vibrate. This changes the vibration on the strings. The pickups detect that and send it on to the amp. So, the sound coming out the speaker has changed. The point is to make the sound coming out of the amp sound more like the sound of an all-acoustic instrument. A hollow-body electric bass is designed to get closer to an "acoustic" tone out through the amp.
Chambering out the body is the main way to do that. But it's more complicated than just copying the wall thicknesses and chamber sizes of an all-acoustic body. Putting thin-walled wings onto a stiff center spine won't get you there. The whole body has to be designed to flex under the string vibration. And that's different from a body that's designed to flex the top to pump air.