Yes, envelopes made from Glassine paper are good for storing Lepidoptera. But keep them in a dry place and pin as soon as possible (or store under cold conditions) so as to avoid fungus.
I've stored thousands of moths in glassine envelopes, just as one can do with butterflies. A single data label can be attached to multiple envelopes that are stapled or otherwise fastened together.
And it doesn't have to be temporary; the museum has large numbers of unprepared moths (and butterflies) that are in glassine envelopes.
Greasy species (such as Cossidae) can be a problem: the grease can spread and stain the wings, and perhaps stain specimens in adjacent envelopes.
But because moths tend to have robust bodies that can be flattened in an envelope, my preference is to store moths on layers of cotton (or cotton-like material) in plastic sandwich boxes (or other plastic container), that, once the specimens have dried, can be sealed along with something to inhibit mold (such as thymol).
For long-term storage, sealed plastic boxes of layered specimens can simply be placed in a freezer, to be thawed and prepared at your convenience at a later date.
Yes, you can keep moths in glassine envelops for storing samples. If you are going to keep the samples stored for a long time, it is necessary to keep the envelops inside hermetic plastic boxes with one or two balls of naphthalene to avoid pests and fungi, mainly psocoptera and dermestid beetles that can damage the samples. In the envelopes you can write the collection data.