Do newer GFCI receptacles still trip due to inductive load from motors?
Quick answer:
Unless your disposal leaks current via ground or via the water/sewer line, you won't have any problems.

More details:
GFCI is really great for appliances that interface with water during the cource of their normal duties. Sumps, washers, disposals, sprinkler systems.  As they degrade, they are especially able to cause dangerous leakage current that can hurt people nearby.

I hate answers that make decisions for the asker.  But this is one of the cases where its really pretty clear.  Even if it was a nuisance, it would be worth it.

If you want an EASY way to gain confidence that it won't be a nuisance, wire the outlet to an old computer power cord for a few days and run the disposal a few times to see if it ever trips.  If it does you should check resistance between hot and ground, neutral and ground, hot and your sink, and neutral and your sink.  They ought to all be infinite resistance.  If not, then you have a significant safety problem with your disposal.