The other issue is that protected cells have a higher resistance than unprotected cells due to the protection circuit, I'm not sure how this would play out in a series circuit to be quite honest but might be worth considering..
If I were in your shoes, and wanted to see this through, I would run some simple tests....
Charge the 3 cells up, figure out what the load of the configuration is on the cells, and calculate an approximated amount of running time required to drain off say, 25-50% of the total stored capacity of the cells. Then, remove the cells, and test the voltage of them all. If the unprotected cells are equal or higher in voltage to the protected cells, then you are ready to roll and shouldn't really have any problems. If you want to make double-sure, continue the test with more draining of the cells in the configuration, checking every 10% of estimated drain time on cell voltages to make sure those unprotected cells are keeping up with the protected cell in voltage. Towards the end of the discharge, one of the cells will drop off quickly and you'll want to find out which one it is, ideally, a protected cell will be the one to drop off first for everything to work out well... Or if they all start to drop off at the same time that would be great. (what I mean by this sudden drop-off is when they start reading less than ~3.5V, it doesn't take long at all to drop a lico cell from 3.5 to 3.0 or less once it is down that low. )
Eric