That's the thing, she and her husband are not well thought of in Italy. She was a well known and well-respected French actress before she married Emmanuel. Within royal circles they are looked at with a wary because of some behaviors at either Mary, Letizia or Marie-Chantal's wedding. There was brawl between the 2 heads of the royal house Savoy and Aosta over who was head of the house. Anyway the 2 general fought right over Queen Elizabeth 2 and Queen Anne Marie of Greece nee Denmark. QE2 reportedly said "never again" (and that was last royal wedding she attended outside her family members' weddings. Prince Emmanuel (Clotilde's hubby) regularly does Italian versions of shows like "Dancing With the Stars", "I'm a Celebrity Get Me Out of Here" etc. She chooses to focus on acting career rather any royal duties or charitable work (they are not well off).
TMI, I know but that's the reason for her doing more red carpet dressing rather than princess dressing. Personally, I think she'd do better in her acting career if she upped her classy lady profile.