Is wraping in copper wire and soldering to make my eyelets on my leadout's still a ok way of doing it?
There is absolutely no good reason to avoid soldering here, you just need to know what you are doing.
Many top fliers in Australia silver solder and copper wrap their lead outs with no corrosion, stress riser or strength problems what so ever.
The advantage with 'not' using ready made brass eyelets is that wrapping produces a perfectly circular final wire diameter that can swivel in the line clips without catching anywhere, and that's something a brass eyelet can not lay claim to.
I have heard of fliers checking the orientation of their lines just before take off and then getting airborne only to find that an eyelet that is sitting vertically (or at some angle other than its supposed to be at) in the line clip and suddenly straighten up out under load - and guess what that does for the heart rate!
Cheers.