Who knows what Chase's policy is right now?
But, last year I did get INK cards in both MC and Visa flavors and got the 50K bonus for each.
Per info on a blog (was it
http://millionmilesecrets.com/?) I applied for Visa INK while I had a couple of MC INKs. Had to use a special link which was found on the MasterCard Association website and which was reached by going through some search thing they had to help you find your "best" card.
I don't recall all the details, but I sure recall getting the extra bonus!
IMHO, Chase is not too concerned with giving out several INK bonuses so long as you let a little time pass and use a differerent business (and different business name) for each app. Indeed, you can even get the charge and installment INKs versions in the same business names.
Looking forward to reports of folks who have applied for different flavors under the new policy.