The service manuals confirm what you've found with the wiring. The '87 manual shows the white wire from the tach going through a 2.2k ohm resistor to the + side of the coil. The '90 manual shows the white wire going to the computer, then a white/green wire going from the computer, through the same 2.2k resistor, again to the + side of the coil. So, yeah, sounds like the TBI system runs the tach right off the coil, while the MPFI runs it off a signal generated (or at least modified in some way) by the computer.
If you're married to/stuck with the '87 cluster, you could cut the white wire from the computer to the tach, tape up the end going to the computer, and splice the end going to the tach into the white/green wire. That would give the TBI tach the signal it expects.
Or, if you'd rather modify the cluster than hack up the harness, you may be able to swap just the tach from the MPFI cluster into the TBI cluster. The drawings of the clusters in the two manuals are not quite identical, but they are very close. I would not be surprised if the tachs interchanged mechanically. I would however be a little nervous about swapping the plastic needle from one to the other to make the tach look at home (I'm assuming the '87 is orange and the '91 is white).
If the tach itself is the same between the two clusters, but has different control circuitry, and that circuitry is easily separated from the tach, maybe you could just swap that circuitry from one tach to the other and leave the rest alone. If that pans out, you could basically convert the TBI tach to an MPFI tach, and get the job done without hacking up the harness or prying on a 36-year-old plastic tach needle.
Or, yeah, if you don't mind the look of the '91 cluster, save yourself some screwing around and just huck that in there.