The general truth about the development of triumphal processions and the developing iconography to them in Italy ... for instance this helmet-winged Venus ... is, that the Italian had not too much money between 1425 - 1450 cause the Lombard wars.
So triumphal processions were rare ... exeptions were
1423 Alfonso of Aragon (Naples)
1425 Filippo Visconti (Milan)
1441 great marriage (Francesco Sforza /Bianca Maria Visconti)
1443 Alfonso of Aragon (Naples)
Things change with 1449/1450, Sforza occupied Milan
Late 1449: Milan (Ambrosian republic) has a Trionfo, cause they believe in peace with Venice - soon they're cheated
March 1450: Sforza has a Trionfo, cause he'd occupied Milan
1450 Jubilee-year: Lots of festivities
1451/1452 Emperor visit: Lots of festivities
1452: Borso becomes duke (Ferrara)
1453: Another Trionfo in Milan.
Generally: Pope Nicolas spends money for buildings in Rome. The jubilee year brought a lot of money to Italy.
1454: Peace of Lodi ... the economy has the chance to recover, wars are not completely over, but generally there is more or less peace till 1494/1500 the French occupations
1460 - 70: the Trionfo culture develops, accompanied by new developments with carnival - triumphal festivities increase in number
1470-1476: the "early" heigth of triumphal festivities ... the reigning heads are young in this time (Galeazzo Maria and Medici brothers) ... young reigning heads often means "festivities"
1475 Another Jubilee year
1476/78: murder in Milan (Galeazzo Maria) and Florence (Giuliano de Medici)
The style of the Venus in firemaidens source seems to have been developed from the festival book to the marriage of Constanzo Sforza and Camilla d'Aragon 1475 (theme Trionfo della Fama) ... I could imagine, it's a direct copy.
http://www.ibiblio.org/expo/vatican.exhibit/exhibit/c-humanism/images/human19.jpg
The marriage and show was 1475, but the book developed later (ca. 1479). It's fairly a "Tarot" or better a "Trionfi" composition, not with 22 elements, but some more (like Minchiate, actually it's a simple truth, that one wasn't totally fixed on 22 in this early time).
Well, likely the motifs of this book didn't found the opportunity to become playing cards - but perhaps there existed one deck or some more, this is not impossible ....
Here is the not coloured and not pictured version of thhe book:
http://special-1.bl.uk/treasures/festivalbooks/BookDetails.aspx?strFest=0171