Using <lg> over <p> for offset poetry?

In the course of disambiguating some lingering <emph> encodings in the episodes, I have been thinking about the way we encode all the inset, typographically offset poetry. Here’s an example from “Telemachus”:

<p rend="inset"><lb n="010264"/><quote>And no more turn aside and brood.</quote></p>

Really, though, why would we be calling this a <p>? Shouldn’t it be a one-line <lg>?
Or, better yet, take this example from “Proteus”:

<p rend="inset"><lb n="030021"/><emph>Won't you come to Sandymount,
<lb n="030022"/>Madeline the mare?</emph></p>

We can’t use <quote> to disambiguate the <emph> tagging here because, so far as we know, this is Stephen’s own doggerel verse.
What about something like:

<lg rend="italics"><lb n="030021"/><l>Won't you come to Sandymount,</l>
<lb n="030022"/><l>Madeline the mare?</l></lg>

What do you guys think?
I’ve tried out this new encoding in “Proteus,” but I’m happy to revert /refine further if I’ve missed something. I’m wondering too how the example from “Telemachus” might be better encoded:

<lg><lb n="010264"/><l><quote>And no more turn aside and brood.</quote><l></lg>