RiverTam same here, DD has tongue tie and was very poor at latching. In the early days, feeding consisted of me holding Dd in various gymnastic style poses with one arm, while manipulating my boob and nipple into different shapes to ensure DD could latch. Once on, DD would slurp, click, and occasionally slide right off (allowing a jet of milk to shoot up to 5 or 6 feet across the room).
Meanwhile, due to the pumping i had to do when DD couldn't latch, i had a huge oversupply of milk and I had to stuff a nappy down the other side of my bra, otherwise both me and DD would be soaked.
I definitely needed to sit down, and preferred privacy to go through all that! So rather than stay inside all the time, I timed trips out around visiting shops that I knew had nice feeding rooms.
Once DD reached 8 weeks or so, things started to improve and we were more confident in feeding, so at that point I felt able to feed her in public.
It's good to have both options available, it's not as clear cut as some mothers prefer privacy and some are happy to feed in public, the same person might prefer one or the other at different times. If DD asked for a feed now, I'd probably want to do it in private again since she has basically day weaned and I would have to remove my bra to feed her, it would also reduce the number of times she stops and looks round to see what she is missing!