Does a Type Rating "upgrade" with your license?
The answer to this lies in 8900.1, Volume 5, Chapter 2, Section 18 - Conduct an Airline Transport Pilot Certification, Including Additional Category/Class Ratings.  

In most cases, yes the type rating "upgrades" or "elevates" along with your license since the type rating is always evaluated at ATP standards, even if you only have a private or commercial certificate.  

Exceptions are type ratings for single-engine airplanes and type ratings that have a "VFR ONLY" restriction.

8900.1 excerpt:


  5-710    PILOT CERTIFICATE LEVEL AND CATEGORY AND CLASS RATING. The following category and class rating(s) for which the applicant has
  qualified on the original or subsequent ATP practical tests are
  entered on the ATP certificate.
  
  A.    Addition of Lighter-than-Air and Glider Class Ratings. A lighter-than-air or glider category rating may be added to an existing
  ATP certificate; however, the rating may be added only at the
  recreational, private, or commercial pilot certificate level, as
  appropriate to the practical test completed. There is no provision for
  the original issuance of an ATP certificate with a lighter-than-air or
  glider category rating.
  
  B.    Type Ratings. Type rating tests are conducted to the ATP standard for all grades of pilot certificate. Therefore, all type
  ratings in that category and class of aircraft for which the practical
  test is conducted in are upgraded after successful completion of the
  practical test. For example, a person who holds B-737, DC-3, and SK-62
  type ratings on his or her commercial pilot certificate, and later
  satisfactorily completes an ATP practical test in a CE-750, would have
  his/her B-737 and DC-3 type ratings elevated up to the ATP
  certificate. The SK-62 would not elevate up because the practical test
  was in a multiengine airplane. However, when the person satisfactorily
  completes an ATP practical test in a helicopter, the SK-62 would then
  elevate up to the ATP certificate. Therefore, all of the type ratings
  held on the superseded certificate carry forward at the new
  certificate level within category and class.
  
  NOTE:  A type rating for a single-engine airplane may not be upgraded
  to the ATP level.
  
  1)    Except for type ratings and, under some circumstances, the
  instrument rating, other ratings indicated on the superseded pilot
  certificate are carried forward at the commercial, private, or
  recreational pilot certificate level, as indicated on the superseded
  certificate.
  
  2)    Instrument rating privileges are shown on the ATP certificate
  only if the ATP practical test was conducted under visual flight rules
  (VFR) only, or to retain instrument privileges that were held on the
  superseded certificate for a category of aircraft other than the one
  used for the ATP practical test.
  
  C.    Type Rating Limited to VFR. A type rating bearing the limitation “VFR ONLY” may be added to an existing certificate other
  than an ATP certificate under the provisions of § 61.63(e). This
  limitation may be added to an aircraft type rating not capable of
  instrument maneuvers or procedures required on a practical test. The
  practical test must be administered under the appropriate ATP PTS for
  an aircraft type rating limited to “VFR ONLY”. A type rating bearing
  the limitation “VFR ONLY” may be added to an existing ATP certificate
  under the provisions of § 61.157(g). The practical test must be
  administered under the appropriate ATP PTS for an aircraft type rating
  limited to “VFR ONLY.”
  
  NOTE:  There is no provision for taking an initial practical test for
  an ATP certificate in an aircraft that would require a VFR limitation.