Hi, welcome to the forum. You're saying that when you switch on the turn signal indicators to indicate that you're turning left or right, all of the hazard flasher lamps come on instead, yep? If so, and if you've already replaced the multi-function switch then your problem is likely to be in the region of the electronic flasher unit - that controls both the turn signal and hazard flasher functions.
There is a single connector which plugs into the electronic flasher, containing seven wires, so I'd start by unplugging that and giving it a careful visual inspection, looking for damaged wires or any signs of physical damage at the connector, including signs of overheating and melting.
If you have a 12V test lamp or multimeter then you can make some electrical checks:
With the connector unplugged and the ignition switched on, set the turn signal lever to the left turn position - you should have a constant 12V on the dark green/red wire but not on the dark green/yellow wire.
Then set the turn signal lever to the right turn position and you should have a constant 12V on the dark green/yellow wire but not on the dark green/red wire.
The black/red wire should have 12V at all times, even with the ignition switched off.
If the two turn signal outputs from the electronic flasher were shorted together then that might cause your fault, but testing for that would require a multimeter and it wouldn't be so straightforward as the tests above, so I'd do those first, starting with the visual inspection.
Here is the wiring diagram - it's in two sections but you're only interested in the first one, and also a couple of location diagrams for the electronic flasher unit.
To help you identify the flasher unit, it should have a single connector with seven wires, the colours of which should be:
black
brown
dark green/yellow
dark green/white
dark green/black
dark green/red
black/red
'95 Turn/Hazard Lamps - wiring diagram 1
'95 Turn/Hazard Lamps - wiring diagram 2
'95 Electronic Flasher location
'95 Electronic Flasher location - detail