No. The lower resistance, the more strain it puts on the battery. If you go too low, it will outright kill your battery.
IIRC, you have 280mah batteries At any rate, 3ohms is not the "only safe" carto to use with 280mah. I'ts just the most commonly available resistance that will strain your battery the least.
You can go to 2ohm safely, but the overall life, and the time between charges will be shortened. It's a tradeoff you make. A 3ohm carto on a 3.7V small battery is going to give you pretty lame vapor production. 1.7ohms is pushing it though and would likely damage your battery pretty quickly. Use 2.5ohm Boges if you can find them. That's why I prefer Boge cartos. Their resistance is more consistent. Smoketechs seem to be +/- 0.3 ohms.
That's YOUR opinion. I get plenty of vapor off a Joye 510 slim ecig using a 3ohm. Also, the 2.5 IS NOT recommended for these types of batteries. For an Ego, it's a little better but low resistance still strains the mosfet.