Aside from the dieback, those lavenders look healthy and happy!
Was that growth dead at the end of winter or has it just appeared recently?
If recently, given your recent weather, they could just need more water. I see you're off the coast, does it usually rain a lot there? If you are not getting summer rain, then you might need to irrigate more than you are. Deep and infrequent.
If they emerged from winter like that, it could be rotten roots from excess winter water. I can't help but think that black fabric must hold a lot of moisture in the soil. For years I've read advice to mulch lavenders with light or white mulch (like white rocks or gravel) to reflect heat up into the center to help prevent excess moisture from causing rot. As Lynda stated above, what kills most lavender is sitting in wet winter soil.
If there is even the slightest hint of new growth at the base of all that dead stuff, trim it back just above the visible new growth. It will likely growth back.
My lavenders often have partial dieback for no obvious reason and usually I just cut it out and the new foliage fills in the gaps. About half of my Grosso was dead in early spring this year, all on one side, possibly due to our unusual freeze. I cut out all of the dead growth and was certain it would remain lopsided, but it filled in just fine. Not great photo here, but trying to show that it grew back mostly symmetrical.