Dir (mostly T1a) and Hawiye (usually EV32) don't even share the same haplogroup so there isn't credence to the Irrir Samale myth. Hence can't be paternally related. Hawiye is closer to Darood and half of Issaq. Unless you are J you shouldn't claim Arab. Anyone who does is just a poser with an embarassing sheegada (false) lineage. What I will say is that autosomally Somalis are very similar. Also, there are many Somali maternal haplogroups. Too many to count.
Walaal, certain individuals have been pushing a non-substantiated idea that macro-clans can be associated with one haplogroup/subclade when we are severely lacking in representative Yfull samples. There isn't a definitive Samaale or Darood etc. subclade, and I doubt there will be as it is becoming more apparent that these clan identities started off as confederacies. Hawiyes, for example, are underrepresented on Yfull and for all we know they might consist of a variety of lineage groups. Similarly, other Samaales are none-existent on Yfull. Heck, even the Daaroods on Yfull are not representative of the entire clan, and they do not solely belong to one E-V32 subclade formed within the past two thousand years.
As for Dir, we might have an abundance of individuals who descend from a common ancestor within the past 2k years, however, this in not in itself evidence that there was a T ancestor who bore the 'Dir' name from whom all T Dirs descend from. What we do know for certain is that our ethnic identity stems from the eponymous Samaale ancestor to whom we owe the name of our language and ethnicity. The Samaale identity that you alluded has been part of our lineage for, at least, a thousand years even though the overwhelming majority of us do not readily identify or coalesce around such an identity for political or social purposes as subclan identities are stronger clan institutions. For instance, it was only in the 60's that the a Samaale clan identity was used for political purposes as exemplified by how Cigaal outsmarted his Daarood political opponents to secure the votes of Southern Somalis by subscribing to a Dir Irir Samaale lineage.
The Samaale ancestral identity is probably stronger among Southern Somalis as the diversity of Samaale lineages is found there. Apart from clan elders, genealogists etc., the average Northern Dir does not readily identify with a Dir identity, forget the Samaale identity. The problem is that anthropologists who have written about Somalis is the 20th century did not pay enough attention to the fact that the Somali/Samaale clan division is not Daarod, Hawiye, Dir etc. but is actually the nine branches of Samaale. Lewis and others allude to this but they include the non-Samaales in the Samaale identity because of some non-existent matrilineal connection. Some non-Samaales have recently tried to cast doubt on our Samaale ethnonym because they feel threatened and assume it was created in the 60's to dominate Somali politics. How could it be created for political purposes when there are historical records of it in the 19th century when Somalis were still predominately stuck in the nomadic phase of 'civilisation'?
The above is an extract from the 19th century writings of Italian explorer Luigi Robecchi Bricchetti. The above Abtirsi of Hawiye Irir and Aji (Father of Dir) Irir and how they trace their ancestry to Samaale/Somali was recounted to him by a Hawiye elder who lived more than 130 years ago. Try telling that to the ignorant fools who assume it is the creation of some Isaaq politician in the 60's.