Is low-dose birth control less likely to cause weight gain?!

Is low-dose birth control less likely to cause weight gain?

Does less estrogen (or progestin?) mean less weight gain? I know of Yaz and it only has 20 mcg estrogen and 3 mg progestin.
Is lower better? Is that the lowest Pill I'll find?

What are other types of birth control that have less hormones?
Nuva Ring has 15 mcg estrogen and 0.120 mg progestin.

Because that's lower than Yaz, could I assume that there is a less chance of gaining weight?

2 weeks ago
Correction
Yaz progestin = DRSP
NuvaRing progestin = etonogestrel

When the Pill was first introduced it contained much higher levels of hormones than what is available in the formulations today (100-175 micrograms of oestrogen compared to 20-50 micrograms today). While weight gain was associated with these older high dose pills, the Pill formulations used today do not always result in weight gain. It is estimated that in the first year of use:
20-25% of women gain more than 2kg
60% of women experience no change or have a weight change within 2kg (both up and down)
15-20% of women actually lose more than 2kg weight.

The progestogen in the Pill can increase appetite which may result in weight gain. Some women may also experience water retention but this can often be reduced by switching to a lower dose pill.