Speaker ground?

I think your issue is actually something different. I believe you may be having an impedance issue. I do not know what the impedance is of the original radio but standard is 8 ohms. The speaker is my 65 Barracuda ran a single wire to the radio and one to ground. If you wired both speakers by splicing them as you say then you are actually doubling the impedance. This does 2 things it causes the amplifier in the radio to create more heat and second less sound to each speaker. I could be wrong and my car audio knowledge is getting aged but try hooking 1 speaker up and see if the volume is louder.

Not clear to me how the op spliced them.

If you splice them in parallel, this cuts the impedance in half for two speakers, assuming they are equal

If you splice them in series it doubles the impedance of the two

So two 8 ohm in parallel is 4 total, if the two are in series, then 16

No easy way to deal with older radios. "Fader" designed for the combination is one

Another is to use an amplifier

or experiment...........Try one see if you can live with it

Try them in parallel, then in series and see what's best.

Speaker polarity matters as well. Reverse one speaker to the other and see if sound qualtiy improves.