On the topic of Reb moshe I’ll share from r simcha bunim cohen shabbos set (muktzah) that there are those who say you can’t move a lamp l’tzorech gufo or mekomo, however he writes he himself saw Reb moshe move a lamp on shabbos l’tzorech gufo. (And that r shlomo zalman also holds this way)
Sharing this bc I once heard a clip from someone (idk if he’s a rav or stam someone who learns halacha) saying it’s not well known that you can’t move a light on shabbos and you can only use the shabbos lamps that swivel etc. He even said those shabbos innovation lamps that are mini size and therefore are lighter, should avoid using it or be very careful that you’re not moving it when opening and closing.