The method of E administration can make a big difference on weight gain depending on the individual.
With any oral administration (where the majority of estradiol passes through the liver), there is a MUCH higher likelihood of weight gain due to estrone conversion by the liver. Estrone is horrible for you on so many levels, and is about 1/10th as effective for feminization compared to estradiol. It is what accounts for pretty much all of the negative side effects of oral HRT or birth control.
Bypassing the liver by any means is a good idea, so if you are worried about it I would get on injections, the patch, gels/creams, or pellets.
I did notice that when I was taking more progesterone for a brief period, I piled on the weight. I went from 125lbs to 147lbs in 3-4 months. But over the past 4 months, I lowered my progesterone dose and now I'm back at my ideal weight of 130- probably mainly due to appetite changes.
As we all know, hormone therapy works differently for everyone. In a way it's kind of a black art or science to get it right for each individual, and well versed endocrinologists that are sensitive to this fact can be hard to come by. Hopefully advances in transgender care will help a lot of them wise up and stop administering pills altogether.