Well, OTL the AS-13 "Successfull/ Failure" is given credit with saving the last Apollo moon missions (16 & 17 definitely, 15 prob.
In the months between AS-12 (NOV 69) and the launch of AS-13 (APR 70) were was growing pressure (even among pro NASA and pro manned Space communities) to cancel the remaining flights and either move onto SKYLAB, and the Apollo replacement or kill the whole manned program right there (and a lot of the unmanned).
Apollo 20 was canceled in JAN 70, so that its SATURN V could be used for SKYLAB. And while the cancelation of 18 & 19 (techinically it was Apollo 15 and Apollo 19 missiona, they renumbered) were made in SEP 70, NASA was under considerable pressure to either have a 1-2 year pause after 13 or end the moon program right there (the scene in the movie APOLLO 13, where LOVELL/HANKS tells the Congressial tour head's Apollo 14's commander, and the "actor" replies "if there's a 14" is based on a comment by Walter Mondale at a hearing in DC in NOV 69) . All to SAVE money.... **Ignoring the fact that the actual mission was the least expensive part of Apollo...
** NASA was going to 6-8 month gaps between missions, but that was to more to do with the science and planning/training for better missions being that the "end of decade" goal was complete, and the hardware was brought
After Apollo 13 the question of "pauses," or an immediate stop to the program was "politicially" dead at least till there were several successes (14 & 15). It resurfaced a little with 16, and definitely with 17, SEN McGovern, during the 72 race, called on Nixon to cancel Apollo 17, and even stated he would have to be "convinced" to allow SKYLAB to fly.
So I believe if the crew is lost, the program gets a public shot in the arm, like OTL. BUT the suspect you would see actual head roll at NASA (much like after Apollo 1). You also might get more funding for the Apollo follow on (the shuttle), making it a very difference bird (the current STS/Shuttle is a result of budget compromises).