Well stitching the board with vias all over the signal/power/ground lines will add inductance to the traces, and that inductance will be worse if there isn't a ground return path for the signal close to the via.
But as you are talking about old tech, does that imply very low speed design with low slew rate signal transitions? If you want "modern" board design, that usually means a ground plane with a minimum of via poking holes in it and absolutely no slots (or big holes) in the ground plane. Of course that is the standard for high speed design practice with high slew rate signals, as every signal should be treated as a transmission line.
Anyway back to your question...it depends on the design. If the design is susceptible to problems caused by having ground loops and poor trace impedance matching then hand routing is advisable.
Just be forewarned that an old tech board being upgraded to use modern tech, could easily stop working reliably, as the parts are now significantly faster, and will necessitate the use of high speed design rules due to sub nanosecond edge rates.
Regards