In the eyes of the creditors, a debt management program is a "wage earner program" and that is similar to a chapter 13 bankruptcy
Not from my experience and and the adding of a TL that says you are in aDMP has no effect on your FICO score while it is my understanding that any BK will lower your score.
I have never seen a post in this forum about soneome turned down for credit who had the required credit scores turned down for credit because they were in a DMP, Blacklisting aside.
1/25/2021: FICO 850 EQ 848 TU 847 EX