Data point:
About a month ago I received an offer in the mail for $125 cash if I opened a Chase checking account. Today I took that offer along with the 25K CO offer to my local Chase bank. I told my new Personal Banker that I'd like to open a personal checking acct. and wondered if I could piggy-back the two offers. She said: I think so. Let's try. She then set about opening my acct. and was able to add both promotions. Hopefully I'll be a happy boy in about 60 days. Thanks for all those who posted their experiences & helpful hints.
I'm not sure why I received the printed offer for the $125 bonus but I also got one last summer from Chase/WaMu.