As we know it today, giclée media has not been around sufficiently long enough (in its mature form) to assert permanence along multiple decade scales of time.
Giclée prints (Epson) that I produced in 2002-2004 have lost their depth of colour, even in dark, sealed storage. Today, media and ink stability (particularly Hahnemühle's specialist media and Canon's inks) push permanence to several orders of magnitude stronger, but we still cannot make airy assumptions about very long term archival permanence – it needs time. Conversely, Ilfochrome Classic prints produced from the same time and a decade before that, are pristine, be they matted only or fully framed.
Acceptance of giclée as a print method is not at question. How long they last is the subject of some debate at this time, but it must be informed debate, rather than
this method vs that method stuff! . Will darkroom prints last longer? RA4? We will need to be around another 40+ years to assert confidently that giclée prints have staying power in both raw and framed presentation, even if treated to museum-grade conservation framing. Present day – prints are impressive things to gaze at (an extraordinarily wide gamut – with Adobe RGB, well suited to the subtle nuances of transparency film is their strongest point, but there is much, much more behind that) and we are absolutely spoilt for choice with the quality, technology and diversity of media – far more diverse than the limited range of papers for wet darkroom use.
Prints made today, even on the best cotton or silk baryta media, will require astute TLC to have them remain as beautiful as early 1990s RA4 prints, or the gold standard of Ilfochrome Classics – widely said to go a full 500 years. Yeah, I've heard about that! Well, I won't be around then, but there is no harm in leaving a lasting image...