no, if the right one works fine, i would say your flasher is fine. there may be a connection problem between the turn sgnal switch, and the bulb.
the way the turn signals flash, is by running amperage through a bimetal strip that distorts when it gets hot, and returns to its original form when cool
___ ---------------------> ---------------------------> /
: : cool until amperage courses through it --> : : (exagerrated but you get the idea) it pretty much acts as a circuit breaker. (this is the popping/clicking noise you hear with the turn signals on)
If there is too much resistance going through the left circuit, then there won't be enough amperage to heat the metal strip and make it break the circuit, then the light will constantly stay on.
Check the following: connector at the light bulbs for burn marks/pitting of the metal contacts; the bulb itself for the same condition. If you can get to it, thech the connector to the switch as well for the same issues. also look for any form of corrosion on the contacts.
if everything there looks good, use the schematic to figure out which pins on the switch you need to check for excessive resistance. (i would say no more than .2ohms through the switch contacts. any more and replace the switch)
hope it helps. i haven't had to mess with on of these cars since i was in high school