Murat Yakin sounds too good to be true. However, knowing Tare I think it is plausible. But unlikely in this period of time. Mentioned rotation of Swiss trainers seems logical but just after the WC. Also, I do not think that we should go after Primavera coach. Not even as Interim coach since we have enough quality to rescue season, in the worst case scenario, i.e. if Petko leaves or is to be sacked.
Yakin is experienced player who proved himself as very matured coach. Beating twice Mourinho in CL with Basel is a hell of achievement. Also, he could bring with himself some/many of Swiss talents/hidden treasures. I think that in recent years, Lazio has established good link with Swiss football with bringing good footballing prospects. Apart from Lichti and Lulic among others, Petko belongs to this group as promising trainer. Therefore, Yakin to Lazio to me looks like a natural continuation of "partnership".
Yakin is young and modern coach with modern approach to football and with many young players on board such as Keita, Onazi, Perea etc, it could be winning combination.
Di Matteo, as far as I know is still officially on Chelsea's payroll, so I do not really see how he would come to Lazio. Also, he said that he wants to continue in England.
Guidolon is excellent coach, but I would still go after Yakin even with the blind folded eyes.
So, go after Yakin.