I think Solas is just purely Solas/The Dread Wolf (whatever that entails). I think that in the post-credits scene he absorbs Flemythal's power specifically, as opposed to her soul/essence/godhood(s), if that makes sense. We see Flemythal seeming to 'push' something suspiciously essence-y (lol) through the mirror just as Solas arrives, and nothing in Solas' Trespasser appearance and behavior indicates to me that he's anything different or more than what he was before, other than 1) being demonstrably more powerful 2) being more open about his identity and plans. This would seem to be supported by the datamined designer notes on the scene, which say iirc that Flemythal nurtured her spark of power to give it to Solas, not before passing on her godhood to Morrigan, which she always intended for Morrigan as a gift. Of course designer notes aren't the be all and end all and aren't really concrete evidence. At any rate some worldstates never have Kieran or have Kieran sans old god soul, right? So even if Solas did absorb Flemythal's soul, at most he is a combination of Solas/DW & Flemeth/Mythal, no OG. Also from a meta perspective, Solas as the DW is epic and interesting enough as it is as a premise and possible antagonist, he doesn't need more bells on. (my opinion)
More on her power vs actual soul/godhood: I speculate (and hope, which I am stating to show I acknowledge my bias in this line of thinking) that Flemythal isn't truly dead. Solas states that it isn't easy to truly kill a god, in reference to why he sealed the Evanuris away rather than killing them. Mythal was murdered in ancient history and a part of her survived. More recently the Flemythal entity may have survived 'death' again at the hands of the Warden, worldstate depending. She has persisted in some form through many ages. She did the horcrux dealie at least once before (Hawke), what's stopping her from doing it again? Moreover from a narrative perspective I don't think she's completed her 'mission'. She on occasion has alluded to some kind of.. Purpose. Some quest for justice and vengeance and something more: Mythal was betrayed and Flemeth was betrayed, and so was the very WORLD.. There's a reckoning that will shake the world still to come that she speaks of. Given that for me her story arc isn't quite finished. And from a meta perspective she's a key figure in the lore and three games and other media (a book, her daughter in a comic) so far, and sort of iconic of the series.
I think Morrigan may carry that fragment of Mythal now, the fragment that crawled to Flemeth, just as Flemeth did. It's also worth noting that at some point in the past the fragment of Mythal may not have even needed a host to persist, depending on how literally you take what Flemythal says. It crawled and clawed its way through the ages before it came to Flemeth and joined with her.
Tl;Dr in some worldstates there's no OGsoul in the picture at all, and imo: Solas is just Solas/DW, he took Flemythal's power not her essence/godhood, Flemythal sent her godhood to Morrigan, Flemeth may be truly dead but Mythal isn't, and Mythal's work or purpose isn't complete.
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myahele, Vanel et Kyartah aiment ceci