I've noticed too a difference with how fast they power up your coil. Some are instant and the coil sizzles with the quickest tap of the power button. Others you can tap the same and nothing happens. You'll never get the same vape from the slower ramp up one like you get from the instant hitter no matter what you do.
Ya, mods can handle a bit different. Assuming nothing has changed in the tank, I would start with the watts set a bit lower than I'm used to and then increase in steps and see what happens. Use the same juice that you're used to.
You can also put the tank back on the old mod and compare it to what you're experiencing with the Sobra. That can help you make sure nothing changed with the tank.
I'm not familiar with that SIgelei Sobra mod. But if it has a "hard, normal, soft" setting and/or a preheat setting, these might need to be adjusted to make it hit similar to your other mod(s). Though you may never get it to hit 100% the same.