That environment doesn't sound well managed or conducive to low-defect work to be honest.
Also, there's not much interest in a bridge/tunnel connecting Strendur and Runavík. That's not what the roundabout is for. Before the roundabout was proposed, there were debates whether the tunnel should surface in Strendur or Runavík. The roundabout is to connect both Strendur and Runavík to Tórshavn without either villagers having to circle around the fjord.
The other islands you mention are sparsely populated and have a hard time justifying the cost of subsea tunnels. Populations [2]:
• Svínoy: 31
• Fugloy: 38
• Kalsoy: 75
• Nólsoy: 224
• Mykines: 16
• Hestur: 18
• Stóra Dímun: 10
• Lítla Dímun: 0
[1] https://www.tunnil.fo/um-tunnil/eysturoyartunnilin/prisir/[2] https://statbank.hagstova.fo/pxweb/en/H2/H2__IB__IB01/fo_vit...