A bit of a trip down memory lane ... back in the 90s the LQS had a class for making quilted jackets.
However, what we did was make the fabric aka the quilt, then cut the pattern pieces from it.
It was recommended to use a polyester cotton fabric for the backing/lining so that it gave some slippery-ness when putting your arms into the jacket. Likewise they recommended that for all quilts, particular big queen/king ones, to make it easier when making the bed. Some did and some didn't ... one used a regular poly lining fabric. Turned out it was a brute to work with when machine quilting as it was way too slippery.
If I was making it again ... and depending on your construction method. For sure I would use a poly lining for the sleeves. I think of coats/jackets where the sleeve innards are just too tricky when putting your arms in. Might be a mid-way compromise to the problem that
@dunster has with her jacket.
Already mentioned by some others ... flannelette for batting helps keep down the bulkyness and stiffness. Also, important to quilt lightly, as the more quilting, the stiffer the end result.
@RedGarnet222 ... Will look forward to your creation!