tele cons.... stock body shape ahs no countours and can be uncomfortable to play standing up dpending on your strap position, a little limited in stock tonal options (if you call that a con, I don't, but I have lots of guitars for lots of tones), mediocre neck pickup design... pros, rock solid tuning stability, general awesomeness, neck and bridge together is a great sound that no other fender cops because the 2 pickups are not the same design or even the same size, tele bridge pickup is fender's finest golden-era pickup design to my ear.
strat cons... tuning stability (if trem equipped), weak bridge pickup, can be overly shrill with stock wiring. Pros? obviously 3 pickups, vibrato bar if you like that sorta thing, the strat pickup design maks a fantastic neck pickup, just a killer tone.... in-between settings make the "quack" sound so many people are so fond of
cons of both? they sound best with real vintage repro pickups, but in the age of smart phones vintage single coils are noisey as balls, intolerably so fr stage work if you play with gain levels approaching even classic rock overdrive. Also, there are many variations just within vintage versions and finding the right mix of pickups, pots and woods can be daunting.... sometimes its best to have a fw of each to cover your bases.