See here and here.
(And the user needs to be sure that the MBAM settings are properly configured to both DETECT and REMOVE the PUPs. Some users intentionally disable those settings because they want to install and keep certain PUPs.)
Perhaps you were thinking of NON-MALWARE tracking cookies?
If so, you are 100% correct. MBAM does not target tracking cookies. MBAM targets malware, mostly non-viral malware, especially zero-hour and zero-day threats that can be missed by an anti-virus.
No two security applications detect the exact same database or behaviors.its mainly looking for more serious infections.
That's why it's important to take a layered approach and to use occasional, manual, second-opinion scanners (SAS, or others, if desired).