Recalling from memory, the 'main ground' for the radio is the rear mounting bracket. I do remember removing many of these radios from cars and a ground strap was from the rear bracket mount to the firewall. Not all cars had these, but some did.
I assume the ground of the front bolts is sufficient, unless there is painted surfaces that would interfere.
Not to get too deep into theory, but these radios have a (excellent designed) Push Pull audio output amplifier. If the radio powers up such that the audio amplifier is slightly out of phase, it will 'motorboat' (oscillations). There is a paper capacitor in the amplifier circuit that opens up and does not keep an AC ground in the amplifier, hence it will oscillate on power up. The fix is a replacement capacitor ('orange drop' type) that is epoxy coated that will last the life of the radio.