A cross is a glorified sedan, nothing very special.
General tires are good enough for Pakistani roads. If you aren't very picky about tire noise, nothing else will change too much atleast with new tires.
Once thread gets less, General tires might not be very good with braking. (Specially wet braking)
Else I got Advan Dbs in my City they are less noisy then the Yokohams in Corolla but that doesn't makes City soft. (Just noise reduction better braking I beleive).
Other then that Yokohama is prone to puncture on our roads. My Cith with Yokohama has 2 or 3 punctures with 10,000 on ODO
My Cultus with 51,000km Generals has zero punctures.
General = Durable.
After market if ok, = Comfort.
Consider continental GT too.
Also, I haven't seen any Corolla Cross with off road or AT tires like Tucson or Sportage has.