Is the FP under drivetrain warranty?
yes. it is.
LIMITED POWERTRAIN WARRANTY PARTS LIST
Listed below are the powertrain components covered under the Limited Powertrain Warranty:
Engine
Cylinder block, cylinder head, and all internal lubricated parts (piston engines)
Rotor housing and all internal parts (rotary engines)
Timing gears
Timing chain/belt and tensioner
Timing chain/belt front cover and gaskets
Flywheel
Valve covers and gaskets
Oil pan
Oil pump
Intake manifold and gaskets
Exhaust manifold and gaskets
Engine mounts
Turbocharger housing and all internal lubricated parts
Supercharger housing and all internal lubricated parts
Water pump and gaskets
Thermostat and gaskets
Fuel pump
Seals and gaskets
Transmission and Transaxle
Transmission case and all internal parts
Torque converter
Clutch pressure plate
Transmission mounts
Transfer case and all internal parts
Transmission/transaxle control module
Front/Rear Drive System
Final drive housing and all internally lubricated parts
Manual and automatic hub (4X4)
Front wheel hubs and bearings (FWD transaxles)
Rear axle housing (differential) and all internally lubricated parts
Axle/drive shafts
Propeller shaft (RWD and AWD only)
Universal joints
Constant velocity joints
Rear axle/hub bearings (RWD and AWD only)
Seals and gaskets
source:
http://stg.mazdausa.com/MusaWeb/static/legalTermsMazda.html