Bloomberg and Catsimatidis seem to have some similarities: Both are self-made gazillionaires and Cats seems to be a ROC (Republican of convenience), just like Bloomberg was when first ran for NYC Mayor back in 2001. Cats seems to have had a lot of Democrat pals in earlier years, including Bill Clinton and David Dinkins. But Bloomberg may be officially neutral in this Republican primary out of deference to Rudy Giuliani, who is Lhota's top backer now, just as the then outgoing Giuliani was an important factor in Bloomberg's initial race in 2001.
I've heard that Bloomberg will officially endorse Lhota this week if Lhota wins the GOP primary as expected. Don't know whether a formal Bloomberg endorsement will work more to Lhota's advantage or disadvantage in the general election.
Have see a Cats... Ads on TV. Have not seen Lhota ads. Of course I live on LI but we usually get all NYC ads.