They have given plenty of props to Bon Jovi over the years. Sam Totman often described Bon Jovi as an influence and welcomed descriptions such as "Bon Jovi on speed". Herman Li was a proper fan coming up, and even as far back as their first album was calling Sambora one of his influences. ZP Theart is a full Bon Jovi fan and the band was/is his favourite.

I have found the European power metal scene is much less shy to talk about Bon Jovi as a direct influence. Perhaps because that type of music leans into cheese. Tobi Sammet from Edguy/Avantasia and Battle Beast are two off the top of my head who like Bon Jovi.