Alright, well, I did this and it works well.
Note: When attaching the wire, attach the ground FROM THE BULB, not the other end. I was a dumbass and did this at first without thinking.

Thankfully it only blew the fuse, and not the flasher.
I decided to make a few diagrams to show simply how this is done. Note wire colors are for at 1996 Explorer. Wire colors may vary on yours, but the principal remains the same.
First, here's where the bulbs are located. You will be attaching the wire from the one labeled "corner" to either of the ones labeled "turn"
Once pulling out the corner lamp assembly, it is simple. I did this in less than 10 minutes start to finish.
Driver's side:
This shows the wires going to the corner marker bulb (2 wires) and the turn signal (3 wires)
Now, simply cut the black (ground) from the corner bulb and splice it into the green wire w/white stripe.
(driver's side after)
Passenger side:
Same as driver's side, but the turn signal leads are different color. Instead of being green w/ white stripe like on the driver's side, it is a white w/green strip wire. That's the the only difference.
After:
It's very simple to do. You may also wish to cap off the loose ground wire that used to connect to the corner bulb. I'm not sure if leaving it open would cause any problems, but I just capped it anyway, just in case.
Here's the result:
Turn signal blinking with parking lights on:
Note turn signals are blinking as usual, but instead of the corner lamp simply staying on as usual, it goes off when the other bulbs blink, causing a "strobe" effect.
Turn signal blinking without parking lights on:
Note that all three bulbs are blinking. The corner light is blinking too, now, just dimly. Nevertheless, all are blinking.
Parking lights with no turn signal:
This video is rather pointless, but shows that nothing has changed with how the parking lights work.
I figured since I did this I would give this a bump, and another explanation on how to do it, since there still seems to be some confusion. It's somewhat pointless, but it gave me something to do for a little while (mod and diagrams

).
Besides, the alternating is cool
If this ends up causing any problems with the flasher/fuses, I will post up. I doubt there will be, since nobody else who has done this has had problems with it.