From my experience, stock motors have way more drag brake in them. So with a stock motor, you'll have more braking, meaning the weight transfers more/faster to the front, resulting in more steering, compared to a (mod) motor with less braking.
So I would agree, that with mod, you need a more aggressive setup with a mod motor. A workaround could be to dial in some drag brake in the ESC, if your ESC have that feature.
Torque? It's a while since I last tried a mod motor. It was a 18x4, which was quite torqy, so I didnt notice any problems here. But as said, it's some time ago, so I might remember wrong.
Schumacher Mi5 - Sanwa MT-4 / RX-462 / KO Propo PDS-2123 - Nosram 5600 X-treme Saddle Pack - LRP SPX Zero/X12 17,5 - Nosram Stealth Touch Evolution - MAAS SPS 9250